A multi-piece intraocular lens (IOL) has an optic constructed of an elastomeric plastic and an opposing pair of attachment members (haptics) constructed of a rigid plastic material. The optic or haptics have one or more small, tear drop-shaped, inlet recesses formed into each from a peripheral edge region. The haptics or optic are formed having peripheral edge protuberances matching in size, shape and position corresponding optic or haptic inlet recesses. The protuberances dovetail into the corresponding inlet recesses and are cemented therein to lock the haptics and optic together. Methods for manufacturing a multi-piece IOL include forming the haptics from a modified haptic blank and the optic from a modified optic blank. After the haptic or optic protuberances are dovetailed and cemented into the optic or haptic inlet recesses, the haptics and optic are milled or lathed from the respective haptic and optic blanks to provide a completed multi-piece IOL.