Highly birefringent elliptical-hole photonic crystal fibers (PCFs) with single defect and double defects are proposed, which are supposed to be achieved by extruding normal circular-hole PCFs based on a triangular-lattice photonic crystal structure. Comparative research on the birefringence and the confinement loss of the proposed PCFs with single defect and double defects is presented. Simulation results show that the proposed PCFs with single defect and double defects can be with high birefringence (even up to the order of 10^{02}). The confinement loss increases when the ellipticity of the air hole of the PCFs increases, which nevertheless can be overcome by increasing the ring number or the area of the air holes in the fiber cladding.