Abstract:The center of algebras plays a key role in the structure and properties of algebras. The center of little q-Schur algebra u_k(3,3) is helpful to calculate the center of little q-Schur algebras u_k(3, r). The base of little q-Schur algebra u_k(3,3) is used to represent the central elements. Starting from the property that the central elements can be exchanged with other elements when multiplied, the dimension of the center for little q-Schur algebra u_k(3,3) under the unit root of degree 3 is calculated and a base for the center of u_k(3,3) is obtained, according to the multiplication formulas between the normal base of the q-Schur algebras.