Following the framework of the finite element methods based on Riesz-representing operators developed by Duan Huoyuan in 1997,through discrete Riesz representing-operators on some virtual(non-) conforming finite-dimensional subspaces,a stabilization formulation is presented for the Stokes problem by employing nonconforming elements.This formulation is uniformly coercive and not subject to the Babu ka-Brezzi condition,and the resulted linear algebraic system is positive definite with the spectral condition number O(h-2). Quasi-optimal error bounds are obtained,which is consistent with the interpolation properties of the finite elements used.