In this paper, we applied the reduced differential transform method (RDTM) for solving two types of nonlinear partial differential equations, namely, generalized Drinfeld-Sokolov (gDS) equations and Kaup-Kupershmidt (KK) equation. Comparing the RDTM results with exact solutions show that the RDTM is quite accurate, effective, reliable and can be applied for many other nonlinear partial differential equations.