Abstract: To realize a categorification of the Lie superalgebra osp(1|2),the bracket product of osp(1|2) on the odd part is categorified by an exact functor between the BGG category and Harish-Chandra bimodule category of gl(2,C).In the result,the symmetry of bracket product of osp(1|2) on its odd part is reflected by the isomorphism of two Harish-Chandra bimodules of gl(2,C).