A multi-piece, non-take-apart vehicle wheel disc and rim assembly and method of making the same. The wheel rim has a disc mounting flange extending radially inwardly of the rim which radially overlaps the disc. The disc and rim are each finish formed prior to assembly and each have a set of assembly-mounting holes extending parallel to the wheel axis which are generally registered in initial assembly. One assembly hole set is preformed slightly larger in diameter than the other. The rim is fixtured on an assembly apparatus to orient the average axis of the rim bead seats on a predetermined first axis of the apparatus. Then the disc is placed loosely on the rim with the sets of disc and rim assembly holes generally registered. Then the disc is precision located relative to the rim by a locating means to align the axes of the disc bolt holes and/or center pilot opening on a predetermined second axis of the apparatus by lateral bodily shifting of the disc radially relative to the rim to accomplish such alignment as necessary. Assembly fasteners are inserted in the registering assembly holes, and then, while so fixtured and located, the disc and rim are permanently fixed together by permanently fixing the fasteners in a non-take-apart mode.