Abstract:  In this paper, we consider a class of mathematical programs governed by second-order cone constrained generalized equations. We define the critical cone  in terms of the directional derivative of a nonsmooth  mapping and derive its equivalent characterization at a feasible point.  With the help of the critical cone,  we propose a set of second order sufficient conditions for the mathematical program governed by second-order cone constrained generalized equations. We demonstrate, under some conditions, that the set of second order sufficient conditions is sufficient for the second order growth of an M-stationary point.