The present disclosure discloses a nonlinear spring connection structure and a motor. The nonlinear spring connection structure includes a stator, a mover and an elastic connector provided between the stator and the mover. The elastic connector includes a first end connected with the stator, a second end connected with the mover and at least two transition-connecting portions connected between the first end and the second end. The at least two transition-connecting portions extend from the first end towards the second end with sequentially decreasing sizes. An elastic connector is provided between a stator and a mover. In practice, the elastic connector, through deformation of itself, provides a restoring force for the mover during movement, so that the mover can perform a linear movement relative to the stator. In this way, a nonlinear spring connection structure is simpler and manufacturing cost of the nonlinear spring connection structure is reduced.