Hybrid projective synchronization of complex networks has recently been applied to various areas of engineering, applied mathematics and others. In this paper, the problem of hybrid projective synchronization for a class of Markovian jumping complex networks with mode-dependent time-varying delays is investigated. Linear coupling function and nonlinear coupling function are considered simultaneously for each response system in complex networks. Based on Lyapunov stability theory and linear matrix inequality method, some sufficient conditions for hybrid projective synchronization of complex networks are derived. Numerical simulations are finally demonstrated to illustrate the effectiveness of the developed theory. The results provide theoretical basis for hybrid projective synchronization of complex networks and control of system with mode-dependent time-varying delays.