The uniform grid is widely used for the aim of generating the approximately homogeneous and isotropic turbulence. Although many previousstudies have investigated the influence of initial conditions of the uniform square grids, including the Reynolds number, mesh size, bar size,cross-section of bar and solidities, on the statistical characteristics ofthe grid turbulence, the influence of mesh shape has rarely been studied. Compared to the traditional uniform square grid, the present workinvestigates the influence of different mesh shapes (the uniform non-square grid) on the grid turbulence, and this change of mesh shape canbe easily achieved based on the traditional uniform square grid. Thework found that in the cases of uniform non-square grid, the distance ofturbulence needs to fully develop is shorten, the low frequency components of fluctuating velocity increase while high frequency componentsdecrease, leading to the difference of energy distribution. Meanwhile, theuse of uniform non-square grid reduces the anisotropies of decaying turbulence to a certain extent. The skewness is much closer to the theoreticalvalue 0, while the flatness almost remains unchanged. The decay exponents and power-law coefficients obtained are affected by the mesh shapeand the decay exponent could be much closer to 1. Furthermore, largerintegral length scales can be obtained at the same downstream position by using the uniform non-square grid, compared to traditional uniformsquare grid. This may better meet requirements of large-scale turbulence in some engineering communities, such as the wind engineering