The purpose of this article is to deal with the uniqueness problems of meromorphic functions partially sharing values. It is showed that two entire functions f and with ρ 2 (f) < 1 and periodic restriction must be identically if E(0, f (z)) = E(0, (z)) except for a possible set G 1 and E(1, f (z)) = E(1, (z)) except for a possible set G 2 with N(r, G i) = O(r λ), (i = 1, 2), where λ(< 1) is a fixed constant. This result is a generalization of some previous works of Chen in [5] and Cai and Chen in [7]