Stokes phenomena are quite general behaviors in non-perturbative regime and essential information beyond perturbative analysis of physical systems. In this talk, we discuss the Stokes phenomena in non-critical string/M theory within the corresponding multi-cut two-matrix models and their isomonodromy formulation. The explicit solutions to the Stokes multipliers are shown in general k-cut multi-critical points of the systems. We also would like to suggest a new integrable structure of Stokes phenomena which becomes manifest in higher-cut critical points.