Abstract Hierarchical Finite Strip Method (HFSM) can be obtained by hybridizing hierarchical and finite strip method, the shape functions of which are polynomial series. Then the buckling of composite laminates under complex boundary and load conditions are analyzed by HFSM. The numerical results illustrate that the HFSM combines the merits of both hierarchical and finite strip, and can be used for analyzing the buckling problems of composite laminates quickly and precisely.