Polarization maintaining fiber can reduce the influence of uncontrollable birefringence or polarization mode dispersion caused by environmental disturbance on transmission through artificially introduced high birefringence, and has applications in precision interference sensing, laser systems, optical communication, etc. Compared with traditional solid core fiber which is limited by the intrinsic defect of material, hollow core fiber can confine the optical field in low refractive index air core by specific microstructure design, with low delay, low dispersion, low nonlinearity, high photoinduced damage threshold, anti-interference and high flexibility of filling liquid or gas. Hollow core fiber which have polarization-maintaining feature can not only exert its performance advantages in the above applications, but also show broad prospects in high-power pulsed laser transmission and biochemical analysis application. In this paper, the development of polarization-maintaining hollow core fiber is briefly reviewed, and its design concepts and fabrication techniques are discussed.