A movable roof opening-closing structure rotatively opening and closing a movable roof toward backward at an outside of a vehicle body through a linkage equipped with a first link bar and a second link bar, wherein the linkage is configured with an inequilateral four-bar linkage having a fixed bar at a vehicle body side, and wherein an instant center of the movable roof against the vehicle body when the movable roof is at an entirely closing position is located at one of positions where is ahead of a front end of the movable roof and behind of a rear end of the movable roof.