The invention relates to a five-dimensional hyper-chaotic system. With introduction of two non-linear state feedback controllers, the novel five-dimensional hyper-chaotic system is put forward. A chaotic attractor can manifest a two-wing mode and a multi-wing mode in any directions. Because a large positive Lyapunov exponent exists, the chaotic system has complicated dynamics behaviors. Numerical simulation and analysis are performed on basic dynamics characteristics of the system, and discoveries are that the system has a constant Lyapunov exponent characteristic towards certain parameters. The system comprises a reverse proportion circuit, a first integrating circuit, a second integrating circuit, a third integrating circuit, a fourth integrating circuit and a fifth integrating circuit. Output ends of a first operational amplifier, a second operational amplifier, a third operational amplifier, a fourth operational amplifier and a fifth operational amplifier successively output x(x1), y(x2), z(x3), u(x4) and v(x5) which act as three state variables of the hyper-chaotic system. According to the simple five-dimensional hyper-chaotic system, the chaotic attractor of the simple five-dimensional hyper-chaotic system can manifest the two-wing mode or the multi-wing mode in any directions, and the simple five-dimensional hyper-chaotic system is simple in circuit realization so that the system only has three balance points, and has wide application prospects and important application value in the fields of radar, secret communication, electronic countermeasures, etc.