A new modified Morley method is proposed to solve fourth order elliptic singular perturbation problems of two or three dimension. The method has the fewest number of DOFs on each element. Different from the usual finite element methods, we slightly modify the bilinear term corresponding to the second order differential operator and keep that corresponding to the fourth order differential operator and the right-hand side term unchanged. The modification is based on the idea of free formula introduced by Bergan and Nygård in 1984. Theory and numerical results show that the solution is uniformly convergent with respect to the perturbed parameter ε . From the view of computation, our method is efficient since the fewest number of DOFs are employed and the local stiffness matrix takes less computation time than the usual finite element method due to the special construction of free formula.