A new type steel and glass fiber reinforced polymer (GFRP) deck composite beam has been proposed. The relative slip and shear force on the interface of steel and GFRP deck composite beam appears to a certainty with the external loading, which induced internal force redistribution between GFRP deck and steel beam and shear connector, especially GFRP is a resin material, its physical and mechanical properties will change with temperature and time. According to the structure and bearing characteristics, the interface shear force differential equations that considering the temperature and creep effects were presented, the theoretical calculating formula of shear force were given under the uniform load. Results of calculation showed that the shear force of composite cross-section would increases with the increase of the connection stiffness, the increase of load, the change of temperature and the time. Loading effect and temperature changes creates a relatively larger impact on the shear force of the composite beam, while the stiffness of the connective interface and the creep effect of the GFRP material to composite beam shear force were much little.