The dispersion compensating property in photonic crystal fiber (PCF) is simulated with the finite difference method in this paper. The PCF is tailored by changing the radius of the second ring, in order to obtain larger normal dispersion for dispersion compensation. Through numerical simulating, the relations between dispersion and structural parameters are studied. The PCF achieves a negative dispersion of -924.6ps/nm/km. It is difficult to realize in conventional dispersion compensation fiber (DCF). Furthermore, according to the dispersion property of the conventional fiber, aκmatched dispersion compensation PCF is designed with a dispersion of -519.3ps/km/nm.