An intervertebral implant comprises first and second parts having outer surfaces engaging adjacent vertebral surfaces. An insert between these parts provides relative movement therebetween. The first and/or second parts may have engagement means in the form of apertures for engagement with insertion instruments. The first and second parts may nest together, in the absence of the insert, for insertion into the intervertebral space. The boundaries of the implant may form a working space which would include insertion instruments therein. A detent and detent recess may be provided for engagement of the insert and one of said first and second parts.