diff --git a/sway/commands/move.c b/sway/commands/move.c
index 4c0189ec..087423de 100644
--- a/sway/commands/move.c
+++ b/sway/commands/move.c
@@ -359,7 +359,8 @@ static struct cmd_results *move_in_direction(struct sway_container *container,
 
 static const char *expected_position_syntax =
 	"Expected 'move [absolute] position <x> [px] <y> [px]' or "
-	"'move [absolute] position center|mouse'";
+	"'move [absolute] position center' or "
+	"'move position cursor|mouse|pointer'";
 
 static struct cmd_results *move_to_position(struct sway_container *container,
 		int argc, char **argv) {
@@ -371,7 +372,10 @@ static struct cmd_results *move_to_position(struct sway_container *container,
 	if (!argc) {
 		return cmd_results_new(CMD_FAILURE, "move", expected_position_syntax);
 	}
+
+	bool absolute = false;
 	if (strcmp(argv[0], "absolute") == 0) {
+		absolute = true;
 		--argc;
 		++argv;
 	}
@@ -385,7 +389,8 @@ static struct cmd_results *move_to_position(struct sway_container *container,
 	if (!argc) {
 		return cmd_results_new(CMD_FAILURE, "move", expected_position_syntax);
 	}
-	if (strcmp(argv[0], "mouse") == 0) {
+	if (strcmp(argv[0], "cursor") == 0 || strcmp(argv[0], "mouse") == 0 ||
+			strcmp(argv[0], "pointer") == 0) {
 		struct sway_seat *seat = config->handler_context.seat;
 		if (!seat->cursor) {
 			return cmd_results_new(CMD_FAILURE, "move", "No cursor device");
@@ -395,9 +400,15 @@ static struct cmd_results *move_to_position(struct sway_container *container,
 		container_floating_move_to(container, lx, ly);
 		return cmd_results_new(CMD_SUCCESS, NULL, NULL);
 	} else if (strcmp(argv[0], "center") == 0) {
-		struct sway_container *ws = container_parent(container, C_WORKSPACE);
-		double lx = ws->x + (ws->width - container->width) / 2;
-		double ly = ws->y + (ws->height - container->height) / 2;
+		double lx, ly;
+		if (absolute) {
+			lx = root_container.x + (root_container.width - container->width) / 2;
+			ly = root_container.y + (root_container.height - container->height) / 2;
+		} else {
+			struct sway_container *ws = container_parent(container, C_WORKSPACE);
+			lx = ws->x + (ws->width - container->width) / 2;
+			ly = ws->y + (ws->height - container->height) / 2;
+		}
 		container_floating_move_to(container, lx, ly);
 		return cmd_results_new(CMD_SUCCESS, NULL, NULL);
 	}
@@ -429,6 +440,11 @@ static struct cmd_results *move_to_position(struct sway_container *container,
 				"Invalid position specified");
 	}
 
+	if (!absolute) {
+		struct sway_container *ws = container_parent(container, C_WORKSPACE);
+		lx += ws->x;
+		ly += ws->y;
+	}
 	container_floating_move_to(container, lx, ly);
 	return cmd_results_new(CMD_SUCCESS, NULL, NULL);
 }
diff --git a/sway/sway.5.scd b/sway/sway.5.scd
index 83188067..927bf55c 100644
--- a/sway/sway.5.scd
+++ b/sway/sway.5.scd
@@ -133,10 +133,15 @@ They are expected to be used with *bindsym* or at runtime through *swaymsg*(1).
 	tiled containers.
 
 *move* [absolute] position <pos\_x> [px] <pos\_y> [px]
-	Moves the focused container to the specified position.
+	Moves the focused container to the specified position in the workspace. If
+	_absolute_ is used, the position is relative to all outputs.
 
-*move* [absolute] position center|mouse
-	Moves the focused container to be centered on the workspace or mouse.
+*move* [absolute] position center
+	Moves the focused container to be centered on the workspace. If _absolute_
+	is used, it is moved to the center of all outputs.
+
+*move* position cursor|mouse|pointer
+	Moves the focused container to be centered on the cursor.
 
 *move* container|window [to] mark <mark>
 	Moves the focused container to the specified mark.