A furniture hinge has a door stop part, which includes an insertion cup and is attached on a furniture door, at least one pivoting arm that is connected to a furniture body being supported on the door stop part. A damping device including at least one damping cylinder engages in the door stop part. Each damping cylinder is disposed at least partially in a bore of the furniture door. The cylinder axis of the damping cylinder extends substantially perpendicularly to the door plane. The damping cylinder is moved during the pivoting thereof into the locking position of the furniture door by the pivoting arm.