We propose a DC-based polarization beam splitter (PBS) in lithium niobate on insulator (LNOI). Utilizing the high birefringence property of Lithium Niobate (LiNbO3, LN), the device is achieved by simple structure in a short length. With the use of beam propagation method (BPM), the simulation results show that the device has a good performance for the separation of TE and TM polarizations with a high extinction ratio (about 35dB). The simulated fabrication tolerance for the variation of the waveguide width is about 100nm and the bandwidth is about 65nm when the extinction ratio is higher than 10dB.