The light-cone parton distributions can be accessed by a large momentum limit (Large Momentum Effective field Theory, LaMET) of space-like correlation functions (quasi distribution) which can be directly simulated on lattice. The perturbative matching conditions between light-cone and quasi PDF and GPD are discussed. We present a test of LaMET performed with heavy meson distribution amplitudes which are perturbatively calculable through NRQCD refactorization. Recently, A non-perturbative test using 2-D large Nc QCD is performing. I will also discuss the parton orbital angular momentum and twist-3 GPD measurement through hard exclusive processes which can potentially performed on JLab and future EIC .