Quantum entanglement microwave signal is a continuous-variable entangled state in microwave frequency band. It has a great application prospect in the field of solid state quantum information processing, quantum computer and quantum communications. The entanglement microwave can be generated by using Josephson junction driven by pump signal in the environment of superconductivity. Three parametric devices of Josephson parametric amplifier, Josephson ring modulator and Josephson mixer are reviewed in brief. Two dual-path quantum entanglement microwave schemes based on superconducting Josephson junctions are introduced. The similarities and differences of them are compared, and the problems existing at present are pointed out. The future research direction and development tend of entanglement microwave are predicted.