An intervertebral disk implant is adapted to be placed between two vertebrae using a lateral insertion method. The implant is characterized by features including a first end plate having a first socket and a second end plate having a second socket with a spacer that is at least partially received in the first socket and the second socket. The implant includes at least one keel that is adapted to be inserted laterally into a vertebral body of the spine. The spacer allows for pivotal or rotational motion and also for twisting motion of the spine once the implant is inserted between vertebrae of a patient.