Propagation of dispersion-managed soliton in birefringent optical fibers is considered. A set of ordinary differential equations is obtained by means of approximate variational method. Effects of the birefringence on parameters of the dispersion-managed soliton are analysed numerically. It is found that evolutions of pulse duration and frequency chirp are not periodical due to effects of walk-off. When the walk-off is compensated through rotating the axis of the birefringent by π/2 in the dispersion line,managed soliton can be obtained.