The present paper is an illustration of the application of the integral equation technique to a nonlinear random response problem. This method relies heavily on the effective use of matricesabinitioand appropriate matrix manipulation to get the equivalent linear stiffness matrix which is the crux of the equivalent linearization technique used here. Rectangular isotropic plates clamped laterally and free of in‐plane stresses at the edges are subjected to random excitation. The analysis is done using Von Karman equations and numerical results have been presented.