Quantum key distribution (QKD) has unconditional security in the information theory. The phase-matching quantum key distribution (PM-QKD) is one of the variants of twin-field quantum key distribution (TF-QKD), which has been proposed recently to overcome the rate-distance limits of point-to-point protocol without quantum repeaters. In view of the fact that the infinite decoy states are not available in practice, four-intensity decoy-state PM-QKD protocol is more practical. Therefore, a novel PM-QKD protocol with four-intensity decoy states, namely four-intensity decoy-state PM-QKD protocol, is propsed in this work. The secure key rate formula of the proposed protocol is presented and its performances are analyzed through numerical simulations to prove its validity.