Provided are a four-dimensional non-equilibrium hyperchaotic system and analog circuit, based on the five simplest three-dimensional chaotic systems; an operational amplifier (U1), an operational amplifier (U2), and resistor and capacitor are used to constitute an inverting adder and an inverting integrator; multipliers (U3) and (U4) are used to perform multiplication operations; an 8V DC power supply is used for constant input; the operational amplifier (U1) and operational amplifier (U2) use LF347N, and the multipliers (U3) and (U4) use AD633JN; the operational amplifier (U1) is connected to the operational amplifier (U2) and the multiplier (U3); the operational amplifier (U2) is connected to the multiplier (U4), the DC power supply, and the operational amplifier (U1); the multiplier (U3) is connected to the operational amplifier (U1); the multiplier (U4) is connected to the operational amplifier (U2); the DC power supply is connected to the operational amplifier (U2); on the basis of the five simplest three-dimensional chaotic systems, a non-equilibrium four-dimensional hyperchaotic system is provided and an analog circuit is used for the implementation of same, thus a new method and idea is provided for the applications of chaotic systems to engineering fields such as communications.