diff --git a/src/eval.c b/src/eval.c
index 917e0a8..703e1ea 100644
--- a/src/eval.c
+++ b/src/eval.c
@@ -5233,12 +5233,15 @@
      * themselves yet, so that it is possible to decrement refcount counters
      */
 
-    // Go through the list of dicts and free items without the copyID.
+    // Go through the list of dicts and free items without this copyID.
     did_free |= dict_free_nonref(copyID);
 
-    // Go through the list of lists and free items without the copyID.
+    // Go through the list of lists and free items without this copyID.
     did_free |= list_free_nonref(copyID);
 
+    // Go through the list of objects and free items without this copyID.
+    did_free |= object_free_nonref(copyID);
+
 #ifdef FEAT_JOB_CHANNEL
     // Go through the list of jobs and free items without the copyID. This
     // must happen before doing channels, because jobs refer to channels, but
@@ -5405,7 +5408,8 @@
 }
 
 /*
- * Mark all lists and dicts referenced through typval "tv" with "copyID".
+ * Mark all lists, dicts and other container types referenced through typval
+ * "tv" with "copyID".
  * "list_stack" is used to add lists to be marked.  Can be NULL.
  * "ht_stack" is used to add hashtabs to be marked.  Can be NULL.
  *
@@ -5420,162 +5424,214 @@
 {
     int		abort = FALSE;
 
-    if (tv->v_type == VAR_DICT)
+    switch (tv->v_type)
     {
-	dict_T	*dd = tv->vval.v_dict;
-
-	if (dd != NULL && dd->dv_copyID != copyID)
+	case VAR_DICT:
 	{
-	    // Didn't see this dict yet.
-	    dd->dv_copyID = copyID;
-	    if (ht_stack == NULL)
-	    {
-		abort = set_ref_in_ht(&dd->dv_hashtab, copyID, list_stack);
-	    }
-	    else
-	    {
-		ht_stack_T *newitem = ALLOC_ONE(ht_stack_T);
+	    dict_T	*dd = tv->vval.v_dict;
 
-		if (newitem == NULL)
-		    abort = TRUE;
+	    if (dd != NULL && dd->dv_copyID != copyID)
+	    {
+		// Didn't see this dict yet.
+		dd->dv_copyID = copyID;
+		if (ht_stack == NULL)
+		{
+		    abort = set_ref_in_ht(&dd->dv_hashtab, copyID, list_stack);
+		}
 		else
 		{
-		    newitem->ht = &dd->dv_hashtab;
-		    newitem->prev = *ht_stack;
-		    *ht_stack = newitem;
-		}
-	    }
-	}
-    }
-    else if (tv->v_type == VAR_LIST)
-    {
-	list_T	*ll = tv->vval.v_list;
+		    ht_stack_T *newitem = ALLOC_ONE(ht_stack_T);
 
-	if (ll != NULL && ll->lv_copyID != copyID)
-	{
-	    // Didn't see this list yet.
-	    ll->lv_copyID = copyID;
-	    if (list_stack == NULL)
-	    {
-		abort = set_ref_in_list_items(ll, copyID, ht_stack);
-	    }
-	    else
-	    {
-		list_stack_T *newitem = ALLOC_ONE(list_stack_T);
-
-		if (newitem == NULL)
-		    abort = TRUE;
-		else
-		{
-		    newitem->list = ll;
-		    newitem->prev = *list_stack;
-		    *list_stack = newitem;
-		}
-	    }
-	}
-    }
-    else if (tv->v_type == VAR_FUNC)
-    {
-	abort = set_ref_in_func(tv->vval.v_string, NULL, copyID);
-    }
-    else if (tv->v_type == VAR_PARTIAL)
-    {
-	partial_T	*pt = tv->vval.v_partial;
-	int		i;
-
-	if (pt != NULL && pt->pt_copyID != copyID)
-	{
-	    // Didn't see this partial yet.
-	    pt->pt_copyID = copyID;
-
-	    abort = set_ref_in_func(pt->pt_name, pt->pt_func, copyID);
-
-	    if (pt->pt_dict != NULL)
-	    {
-		typval_T dtv;
-
-		dtv.v_type = VAR_DICT;
-		dtv.vval.v_dict = pt->pt_dict;
-		set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
-	    }
-
-	    for (i = 0; i < pt->pt_argc; ++i)
-		abort = abort || set_ref_in_item(&pt->pt_argv[i], copyID,
-							ht_stack, list_stack);
-	    // pt_funcstack is handled in set_ref_in_funcstacks()
-	    // pt_loopvars is handled in set_ref_in_loopvars()
-	}
-    }
-#ifdef FEAT_JOB_CHANNEL
-    else if (tv->v_type == VAR_JOB)
-    {
-	job_T	    *job = tv->vval.v_job;
-	typval_T    dtv;
-
-	if (job != NULL && job->jv_copyID != copyID)
-	{
-	    job->jv_copyID = copyID;
-	    if (job->jv_channel != NULL)
-	    {
-		dtv.v_type = VAR_CHANNEL;
-		dtv.vval.v_channel = job->jv_channel;
-		set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
-	    }
-	    if (job->jv_exit_cb.cb_partial != NULL)
-	    {
-		dtv.v_type = VAR_PARTIAL;
-		dtv.vval.v_partial = job->jv_exit_cb.cb_partial;
-		set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
-	    }
-	}
-    }
-    else if (tv->v_type == VAR_CHANNEL)
-    {
-	channel_T   *ch =tv->vval.v_channel;
-	ch_part_T   part;
-	typval_T    dtv;
-	jsonq_T	    *jq;
-	cbq_T	    *cq;
-
-	if (ch != NULL && ch->ch_copyID != copyID)
-	{
-	    ch->ch_copyID = copyID;
-	    for (part = PART_SOCK; part < PART_COUNT; ++part)
-	    {
-		for (jq = ch->ch_part[part].ch_json_head.jq_next; jq != NULL;
-							     jq = jq->jq_next)
-		    set_ref_in_item(jq->jq_value, copyID, ht_stack, list_stack);
-		for (cq = ch->ch_part[part].ch_cb_head.cq_next; cq != NULL;
-							     cq = cq->cq_next)
-		    if (cq->cq_callback.cb_partial != NULL)
+		    if (newitem == NULL)
+			abort = TRUE;
+		    else
 		    {
-			dtv.v_type = VAR_PARTIAL;
-			dtv.vval.v_partial = cq->cq_callback.cb_partial;
-			set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+			newitem->ht = &dd->dv_hashtab;
+			newitem->prev = *ht_stack;
+			*ht_stack = newitem;
 		    }
-		if (ch->ch_part[part].ch_callback.cb_partial != NULL)
+		}
+	    }
+	    break;
+	}
+
+	case VAR_LIST:
+	{
+	    list_T	*ll = tv->vval.v_list;
+
+	    if (ll != NULL && ll->lv_copyID != copyID)
+	    {
+		// Didn't see this list yet.
+		ll->lv_copyID = copyID;
+		if (list_stack == NULL)
+		{
+		    abort = set_ref_in_list_items(ll, copyID, ht_stack);
+		}
+		else
+		{
+		    list_stack_T *newitem = ALLOC_ONE(list_stack_T);
+
+		    if (newitem == NULL)
+			abort = TRUE;
+		    else
+		    {
+			newitem->list = ll;
+			newitem->prev = *list_stack;
+			*list_stack = newitem;
+		    }
+		}
+	    }
+	    break;
+	}
+
+	case VAR_FUNC:
+	{
+	    abort = set_ref_in_func(tv->vval.v_string, NULL, copyID);
+	    break;
+	}
+
+	case VAR_PARTIAL:
+	{
+	    partial_T	*pt = tv->vval.v_partial;
+	    int		i;
+
+	    if (pt != NULL && pt->pt_copyID != copyID)
+	    {
+		// Didn't see this partial yet.
+		pt->pt_copyID = copyID;
+
+		abort = set_ref_in_func(pt->pt_name, pt->pt_func, copyID);
+
+		if (pt->pt_dict != NULL)
+		{
+		    typval_T dtv;
+
+		    dtv.v_type = VAR_DICT;
+		    dtv.vval.v_dict = pt->pt_dict;
+		    set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+		}
+
+		for (i = 0; i < pt->pt_argc; ++i)
+		    abort = abort || set_ref_in_item(&pt->pt_argv[i], copyID,
+							 ht_stack, list_stack);
+		// pt_funcstack is handled in set_ref_in_funcstacks()
+		// pt_loopvars is handled in set_ref_in_loopvars()
+	    }
+	    break;
+	}
+
+	case VAR_JOB:
+	{
+#ifdef FEAT_JOB_CHANNEL
+	    job_T	    *job = tv->vval.v_job;
+	    typval_T    dtv;
+
+	    if (job != NULL && job->jv_copyID != copyID)
+	    {
+		job->jv_copyID = copyID;
+		if (job->jv_channel != NULL)
+		{
+		    dtv.v_type = VAR_CHANNEL;
+		    dtv.vval.v_channel = job->jv_channel;
+		    set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+		}
+		if (job->jv_exit_cb.cb_partial != NULL)
 		{
 		    dtv.v_type = VAR_PARTIAL;
-		    dtv.vval.v_partial =
-				      ch->ch_part[part].ch_callback.cb_partial;
+		    dtv.vval.v_partial = job->jv_exit_cb.cb_partial;
 		    set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
 		}
 	    }
-	    if (ch->ch_callback.cb_partial != NULL)
-	    {
-		dtv.v_type = VAR_PARTIAL;
-		dtv.vval.v_partial = ch->ch_callback.cb_partial;
-		set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
-	    }
-	    if (ch->ch_close_cb.cb_partial != NULL)
-	    {
-		dtv.v_type = VAR_PARTIAL;
-		dtv.vval.v_partial = ch->ch_close_cb.cb_partial;
-		set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
-	    }
-	}
-    }
 #endif
+	    break;
+	}
+
+	case VAR_CHANNEL:
+	{
+#ifdef FEAT_JOB_CHANNEL
+	    channel_T   *ch = tv->vval.v_channel;
+	    ch_part_T   part;
+	    typval_T    dtv;
+	    jsonq_T	*jq;
+	    cbq_T	*cq;
+
+	    if (ch != NULL && ch->ch_copyID != copyID)
+	    {
+		ch->ch_copyID = copyID;
+		for (part = PART_SOCK; part < PART_COUNT; ++part)
+		{
+		    for (jq = ch->ch_part[part].ch_json_head.jq_next;
+						  jq != NULL; jq = jq->jq_next)
+			set_ref_in_item(jq->jq_value, copyID,
+							 ht_stack, list_stack);
+		    for (cq = ch->ch_part[part].ch_cb_head.cq_next; cq != NULL;
+							      cq = cq->cq_next)
+			if (cq->cq_callback.cb_partial != NULL)
+			{
+			    dtv.v_type = VAR_PARTIAL;
+			    dtv.vval.v_partial = cq->cq_callback.cb_partial;
+			    set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+			}
+		    if (ch->ch_part[part].ch_callback.cb_partial != NULL)
+		    {
+			dtv.v_type = VAR_PARTIAL;
+			dtv.vval.v_partial =
+				      ch->ch_part[part].ch_callback.cb_partial;
+			set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+		    }
+		}
+		if (ch->ch_callback.cb_partial != NULL)
+		{
+		    dtv.v_type = VAR_PARTIAL;
+		    dtv.vval.v_partial = ch->ch_callback.cb_partial;
+		    set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+		}
+		if (ch->ch_close_cb.cb_partial != NULL)
+		{
+		    dtv.v_type = VAR_PARTIAL;
+		    dtv.vval.v_partial = ch->ch_close_cb.cb_partial;
+		    set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
+		}
+	    }
+#endif
+	    break;
+	}
+
+	case VAR_CLASS:
+	    // TODO: mark methods in class_obj_methods ?
+	    break;
+
+	case VAR_OBJECT:
+	    {
+		object_T *obj = tv->vval.v_object;
+		if (obj != NULL && obj->obj_copyID != copyID)
+		{
+		    obj->obj_copyID = copyID;
+
+		    // The typval_T array is right after the object_T.
+		    typval_T *mtv = (typval_T *)(obj + 1);
+		    for (int i = 0; !abort
+			    && i < obj->obj_class->class_obj_member_count; ++i)
+			abort = abort || set_ref_in_item(mtv + i, copyID,
+							 ht_stack, list_stack);
+		}
+		break;
+	    }
+
+	case VAR_UNKNOWN:
+	case VAR_ANY:
+	case VAR_VOID:
+	case VAR_BOOL:
+	case VAR_SPECIAL:
+	case VAR_NUMBER:
+	case VAR_FLOAT:
+	case VAR_STRING:
+	case VAR_BLOB:
+	case VAR_INSTR:
+	    // Types that do not contain any other item
+	    break;
+    }
+
     return abort;
 }
 
diff --git a/src/proto/vim9class.pro b/src/proto/vim9class.pro
index 4c6e12d..9a6b23f 100644
--- a/src/proto/vim9class.pro
+++ b/src/proto/vim9class.pro
@@ -8,5 +8,8 @@
 void copy_object(typval_T *from, typval_T *to);
 void object_unref(object_T *obj);
 void copy_class(typval_T *from, typval_T *to);
-void class_unref(typval_T *tv);
+void class_unref(class_T *cl);
+void object_created(object_T *obj);
+void object_cleared(object_T *obj);
+int object_free_nonref(int copyID);
 /* vim: set ft=c : */
diff --git a/src/structs.h b/src/structs.h
index 0fb57f4..09b0743 100644
--- a/src/structs.h
+++ b/src/structs.h
@@ -1487,8 +1487,13 @@
 // Used for v_object of typval of VAR_OBJECT.
 // The member variables follow in an array of typval_T.
 struct object_S {
-    class_T	*obj_class;  // class this object is created for
+    class_T	*obj_class;	    // class this object is created for;
+				    // pointer adds to class_refcount
     int		obj_refcount;
+
+    object_T	*obj_next_used;	    // for list headed by "first_object"
+    object_T	*obj_prev_used;	    // for list headed by "first_object"
+    int		obj_copyID;	    // used by garbage collection
 };
 
 #define TTFLAG_VARARGS	0x01	    // func args ends with "..."
diff --git a/src/testdir/test_vim9_class.vim b/src/testdir/test_vim9_class.vim
index 6742ea7..1945db1 100644
--- a/src/testdir/test_vim9_class.vim
+++ b/src/testdir/test_vim9_class.vim
@@ -132,11 +132,10 @@
 	this.col: number
       endclass
 
-      # # FIXME: this works but leaks memory
-      # # use the automatically generated new() method
-      # var pos = TextPosition.new(2, 12)
-      # assert_equal(2, pos.lnum)
-      # assert_equal(12, pos.col)
+      # use the automatically generated new() method
+      var pos = TextPosition.new(2, 12)
+      assert_equal(2, pos.lnum)
+      assert_equal(12, pos.col)
   END
   v9.CheckScriptSuccess(lines)
 enddef
diff --git a/src/typval.c b/src/typval.c
index 6faebe4..98915cc 100644
--- a/src/typval.c
+++ b/src/typval.c
@@ -85,7 +85,7 @@
 		break;
 #endif
 	    case VAR_CLASS:
-		class_unref(varp);
+		class_unref(varp->vval.v_class);
 		break;
 	    case VAR_OBJECT:
 		object_unref(varp->vval.v_object);
@@ -161,7 +161,7 @@
 		VIM_CLEAR(varp->vval.v_instr);
 		break;
 	    case VAR_CLASS:
-		class_unref(varp);
+		class_unref(varp->vval.v_class);
 		break;
 	    case VAR_OBJECT:
 		object_unref(varp->vval.v_object);
diff --git a/src/version.c b/src/version.c
index f8977bc..7ae34f4 100644
--- a/src/version.c
+++ b/src/version.c
@@ -696,6 +696,8 @@
 static int included_patches[] =
 {   /* Add new patch number below this line */
 /**/
+    1035,
+/**/
     1034,
 /**/
     1033,
diff --git a/src/vim9class.c b/src/vim9class.c
index 5804b12..864a2e0 100644
--- a/src/vim9class.c
+++ b/src/vim9class.c
@@ -419,13 +419,18 @@
 		CLEAR_FIELD(funcexe);
 		funcexe.fe_evaluate = TRUE;
 
+		// Clear the class or object after calling the function, in
+		// case the refcount is one.
+		typval_T tv_tofree = *rettv;
+		rettv->v_type = VAR_UNKNOWN;
+
 		// Call the user function.  Result goes into rettv;
 		// TODO: pass the object
-		rettv->v_type = VAR_UNKNOWN;
 		int error = call_user_func_check(fp, argcount, argvars,
 							rettv, &funcexe, NULL);
 
-		// Clear the arguments.
+		// Clear the previous rettv and the arguments.
+		clear_tv(&tv_tofree);
 		for (int idx = 0; idx < argcount; ++idx)
 		    clear_tv(&argvars[idx]);
 
@@ -494,7 +499,11 @@
     for (int i = 0; i < cl->class_obj_member_count; ++i)
 	clear_tv(tv + i);
 
+    // Remove from the list headed by "first_object".
+    object_cleared(obj);
+
     vim_free(obj);
+    class_unref(cl);
 }
 
 /*
@@ -522,9 +531,8 @@
  * Unreference a class.  Free it when the reference count goes down to zero.
  */
     void
-class_unref(typval_T *tv)
+class_unref(class_T *cl)
 {
-    class_T *cl = tv->vval.v_class;
     if (cl != NULL && --cl->class_refcount <= 0)
     {
 	vim_free(cl->class_name);
@@ -547,5 +555,60 @@
     }
 }
 
+static object_T *first_object = NULL;
+
+/*
+ * Call this function when an object has been created.  It will be added to the
+ * list headed by "first_object".
+ */
+    void
+object_created(object_T *obj)
+{
+    if (first_object != NULL)
+    {
+	obj->obj_next_used = first_object;
+	first_object->obj_prev_used = obj;
+    }
+    first_object = obj;
+}
+
+/*
+ * Call this function when an object has been cleared and is about to be freed.
+ * It is removed from the list headed by "first_object".
+ */
+    void
+object_cleared(object_T *obj)
+{
+    if (obj->obj_next_used != NULL)
+	obj->obj_next_used->obj_prev_used = obj->obj_prev_used;
+    if (obj->obj_prev_used != NULL)
+	obj->obj_prev_used->obj_next_used = obj->obj_next_used;
+    else if (first_object == obj)
+	first_object = obj->obj_next_used;
+}
+
+/*
+ * Go through the list of all objects and free items without "copyID".
+ */
+    int
+object_free_nonref(int copyID)
+{
+    int		did_free = FALSE;
+    object_T	*next_obj;
+
+    for (object_T *obj = first_object; obj != NULL; obj = next_obj)
+    {
+	next_obj = obj->obj_next_used;
+	if ((obj->obj_copyID & COPYID_MASK) != (copyID & COPYID_MASK))
+	{
+	    // Free the object and items it contains.
+	    object_clear(obj);
+	    did_free = TRUE;
+	}
+    }
+
+    return did_free;
+}
+
 
 #endif // FEAT_EVAL
diff --git a/src/vim9execute.c b/src/vim9execute.c
index b164502..3b142b8 100644
--- a/src/vim9execute.c
+++ b/src/vim9execute.c
@@ -3018,7 +3018,9 @@
 				       iptr->isn_arg.construct.construct_size);
 		tv->vval.v_object->obj_class =
 				       iptr->isn_arg.construct.construct_class;
+		++tv->vval.v_object->obj_class->class_refcount;
 		tv->vval.v_object->obj_refcount = 1;
+		object_created(tv->vval.v_object);
 		break;
 
 	    // execute Ex command line