We propose polarization selective three-equal-power splitters for transverse-electric (TE) and transverse-magnetic (TM) waves based on two-dimensional photonic crystals. The structures are constructed by square-lattice cross-shaped photonic crystal waveguides. The finite element method and the Nelder-Mead optimization method are used to calculate the properties of the structures and obtain the optimized parameters, respectively. The results show that the power splitters are polarization selective when different polarization-selective defects are set in the input channels. For the TE power splitter, TE waves can enter the splitter and transmit in it, while TM waves cannot enter it; for the TM power splitter, the situation is just reversed. In addition, the power splitters can obtain the identical power output at various ports when power-control defects are set at the cross junction of the waveguides. With optimized parameters, the total transmission efficiency of the TE and TM power splitters can be up to 99.48% and 95.53%, respectively. Moreover, it is found by wavelength scanning of the structures that these two splitters can work in a relatively wide wavelength range while keeping good performance.