In this paper,the authors by means of the method of Range and Siu,give the uniform esti-mate of solution of∂- equation∂g=f with parameter m on strictly pseudoconvex domain with non-smooth boundary on Stein Manifolds.The result shows that the norm of the solution g can be con-trolled by the norm of f .During the uniform estimate,it doesn’t involve integral on boundary,so we can avoid complex estimates of boundary integrals and moreover the density of integral is not necessa-rily defined on boundary but only in the domain.%利用 Range和 Siu的方法，给出了 Stein流形上具有非光滑边界强拟凸域上含参数m的∂g＝f的解的一致估计，其特点是所求解g的范数能被f的范数所控制，由于在整个估计的过程中不含边界积分，可以避免边界积分的复杂估计，并且积分密度不必定义在边界上，而只需定义在区域内。
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