A new class of four-dimensional hyper-chaotic system with super large range was constructed in order to obtain more complex chaotic signals. The Lyapunov exponents, bifurcation diagrams, and phase charts were analyzed and the circuit diagram of the hyper-chaotic system was given by using Electronic Workbench software. The circuit simulation experiments showed that the system is hyperchaotic state when the system parameters are in great changes and the chaotic attractor on the oscilloscope keeps pace with the phase diagram through the numerical simulation and the constructed hyper-chaotic system is realized by the circuit which was the application base of the constructed hyper-chaotic system for the secure communication.