The nonlinear chaotic autonomous three-dimensional system is algebraically simple but it can generate complex chaotic attractors. The system has the similar structure with the classical chaotic system which contains two quadratic terms. But the corresponding term of the coefficient matrix is different from the classic system. The transition from lorenz system to chen system and lüsystem can be realized in this system. The chaotic system is demonstrated by theoretical analysis and numerical simulation. The circuit of the new chaotic system is given, and the existence of the chaotic system is confirmed by the software of multisim.