In this paper, we study the differential inclusion associated with minimal surface system for two-dimensional graphs in R2+n. We prove regularity of W1,2 solutions and a compactness result approximate W1,p. Moreover, make perturbation argument to infer that every R > 0, there exists α(R)>0 such R-Lipschitz stationary points functionals α-close C2 norm area functional are always regular. also us...