This paper presents a microwave photonic phase shifter based on a photoresponsive liquid crystals overlay side-polished fiber (LCSPF) device operating in the telecommunication wavelength. The phase shift of the device is tuned by modulating the refractive index (RI) of LC, which comes from the phase transition of the LC mixture materials under thermal or optical control. The proposed microwave photonic phase shifter has the potentiality to be applied to the phase array antenna in the all-fiber telecommunication system.