The checkerboard effect is caused by the periodic time-variant property of interpolators which compose a multirate system. Although the condition for some multirate systems to avoid the checkerboard effect has been shown, the checkerboard effect in multidimensional filter banks has not been considered. In this paper, the condition for multidimensional filter banks to avoid the checkerboard effect is considered. Besides, the properties of the multidimensional filters with no checkerboard effect are given, and it is shown that necessary and sufficient condition for one dimensional multirate filters with no checkerboard effect is not necessary and sufficient one for multidimensional filters but sufficient one. Simulation examples show that the checkerboard effect can be avoided by using the proposed condition.