In this paper,the effect of the anisotropy diffusion on the growth of diffusion-limited aggregation(DLA) clusters is discussed.Our computer simulation results verify that DLA clusters grown with anisotropic diffusion rules have a striking overall diamond shape.A new anisotropic diffusion equation of particles is derived.The Hausdorff dimension of a two-dimensional DLA cluster in the anisotropic diffusion is calculated.The results show that the effective angle βeff=min(βix,βiy).In addition,the generalized dimension Dq of the anisotropic diffusion DLA is also discussed and an expression of the generalized dimension Dq is obtained using the modified wedge model.