The potential symmetries and invariant solutions of Benney equation were calculated by differential form Wu's method.It was difficult to obtain the invariant solutions of Benney equation directly due to the unstable term and dissipative term involved in Benney equation.The calculating difficulty of determining equations can be greatly decreased by using WuwentsunDifferential Characteristic Algorithm.In this paper,the symmetries of Benney equation with different coefficients were fully discussed,and new potential symmetries were obtained.Furthermore,the corresponding invariant solutions can be obtained by using the above symmetries.The solutions had extensive application value for further researching the physical phenomena described by Benney equation.The research indicates that the invariant solutions of conserved partial differential equations can be constructed by using the potential symmetries,which are derived from their auxiliary system.