Based on two-dimensional plane stress wrinkling model of a plastic annular plate with blankholder and a bifurcation functional from Hill\'s general theory of uniqueness for polar coordinate, the critical conditions for plastic wrinkling with blankholder of the flange of a two layered circular blanks during the deep-drawing process are obtained analyticaly. In order to obtain critical conditions for onset of wrinkling, Tresca yield criterion alongwith perfectly plastic manner of material is considered. To have a closed-form solution, deformational theory in plasticity is proposed. Finally from the proposed solution the critical wave numbers and the limitation of drawing for the laminated Steel-Aluminum plate is investigated and the effect of blank holder and also change of it is discussed in detail.

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