An index-guiding dual-core photonic crystal fiber with quasi-lattice is designed, and its dispersion properties are simulated numerically by the finite element method. The coupling between inner-core mode and outer-core mode of proposed fiber will lead to a highly negative dispersion value around phase matching wavelength. The effects of changing d1, d2, d3, Λ or the number of inner cladding air-hole rings on dispersion properties are investigated. At last, a dispersion compensation photonic crystal fiber at 1550 nm wavelength is designed, which has a peak dispersion value of -2250 ps /(nm·km) with a full-width at half-maximum exceeding 280 nm. Its dispersion-bandwidth product can reach 630 GHz-1·km-1. This fiber is suitable for dispersion compensation in long-distance high-speed optical fiber communication systems.