A drive device for a movable furniture part includes a lockable push-out device for pushing the movable furniture part out of a closed position into an open position. The push-out device can be unlocked by virtue of the movable furniture part being pushed into an excess-pressure position located behind the closed position, as seen in the closing direction. An excess-pressure region is located between the closed position and an excess-pressure position. The drive device also has a damping device for damping the closing movement of the movable furniture part. The damping device has displacement-dependent damping, in which the damping force in a main damping region, located in front of the closed position—as seen in the opening direction, is higher than in the excess-pressure region.