Computer stimulation shows if the LP 02 mode is suppressed and only the LP 01 mode is transmitted in a two mode dispersion compensating fiber of three clad dings, more than thousands ps/nm·km negative dispersion values can be achieved. Having a large mode field, small bending loss, small polarization mode dispersion and small temperature drift, and the loss value as other dispersion compensated fibers, the fiber of this kind appears to be a promising dispersion compensating fiber.