This paper studies the cluster synchronization of Markovian complex networks with uncertain transition rates. This system model contains constant coupled discrete time varying delay and coupled distributed time varying delay. By fully considering the property of transition rates and the characteristic of uncertain domains, a more effective technique in stead of the traditional Young inequality is used to bind the uncertain terms in the transition rates. By applying the augmented Lyapunov-Krasovskii functional and a less conservative integral inequality, new cluster synchronization criteria are obtained, which contains the bounds of the delay and the derivative of delay. The example simulation demonstrates the effectiveness of the proposed method.