In this paper, a sufficient condition for two coupled networks with distinct topologies to achieve cluster modified projective synchronization in finite time is presented under adaptive control. Firstly, according to the definition of cluster modified projective synchronization and diagonal matrix scaling factor, the concrete form of the error system is obtained. Then by designing the appropriate adaptive controller and Lyapunov function, we obtain the synchronization criterion between the two coupled networks with distinct topologies, which is supported by the available lemmas. It is easy to see that the settling time of the cluster modified projective synchronization depends not only on the initial time, but also on the parameters of the designed adaptive controllers and the adaptive updating rules. In order to make the conclusion more general, we only make few assumptions and restrictions on the networks. Finally, the feasibility of cluster modified projective synchronization is easily verified by numerical simulation together with the notes in the diagram.