In this paper defines an adaptive hybrid complex projective synchronization method to synchronize two chaotic complex systems. Base on Lyapunov stability theory, the adaptive control law and parameter update law are derived to make the state of two chaotic complex systems, which are adaptive hybrid complex projective synchronized. This paper extends projective synchronization from the field of real numbers to the field of complex numbers for a chaotic complex system. Different components of the complex system synchronized to different scale complex numbers. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.