A spindle drive for an adjusting element of a motor vehicle includes a drive motor with a spindle-spindle nut gear arranged downstream for producing a drive force along a geometric spindle axis. Two connectors are provided for transferring the drive force and at least one connector includes a ball joint with a ball socket and an assigned ball. The ball socket includes a ball socket housing with a connecting piece. It is proposed that the ball socket in the ball socket housing has a damping shell and a bearing shell in the damping shell for the positive engagement with the ball so that the flux of force for the drive force passes via the damping shell and the bearing shell.