In the field of microwave photonics,microwave photonic phase shifter plays a key role in signal processing technology.The main component of this technology is the modulator,which can be driven by electrical signal or radio frequency signal to control the optical signal.Then the phase response of the optical signal can be adjusted through optical device.Thus the phase shift of the optical signal can be achieved in the electronic domain.It has the advantages of high linearity,good tenability and wide band,etc.In this paper,the mechanism of microwave photonic phase shifter is introduced briefly,and then several typical schemes and their latest applications are summarized.It is pointed out that microwave photonic phase shifter is expected to lead to an innovation in the field of microwave photonics.