The quasi parton distribution is a space-like correlation of quarks and gluons along the $z$ direction in a nucleon which can be calculated directly from lattice QCD. At large but finite nucleon momentum, the quasi parton distribution can be perturbatively matched to the physical parton distribution function through a factorization formula in large momentum effective theory. Following a nonperturbative renormalization of the quasi parton distribution in a regularization independent momentum subtraction scheme, we establish its matching to the $\overline{\text{MS}}$ PDF and calculate the non-singlet matching coefficient at next-to-leading order in perturbation theory.