The stationary phase Monte Carlo (SPMC) path integral method is applied to analyze electromagnetic wave propagation in transversely inhomogeneous media. A filter, which gives a stable result with respect to various Monte Carlo parameters and thus overcomes the difficulties previously associated with the multi-dimensional SPMC technique, is constructed to evaluate the propagation field. Numerical results are presented for a graded-index waveguide, and are in good agreement with those obtained by another independent path integral approach, viz., the split-step method.ETX