A method of making one-piece vehicle wheels and the like includes providing a generally circular blank from sheet stock. The blank is preferably preformed with a center portion in the final shape of the disc portion of the wheel, and a peripheral portion for spin shaping the final shape of the rim portion of the wheel. The preformed blank is positioned between an outer mandrel and an inner mandrel having a fixed outboard surface, and an inboard shaping surface which conforms to the final shape of at least a portion of the rim well and the inboard bead seat and flange. An inboard section of the blank peripheral portion is spin formed against the inboard shaping surface of the inner mandrel to form the final shapes of at least a portion of the rim well and the inboard bead seat and flange. An outboard section of the blank peripheral portion is spin formed by engaging the same with a forming roller while the associated portion of the blank peripheral portion remains spaced apart from and unsupported by the fixed outboard surface of the inner mandrel to form the final shape of the outboard bead seat.