Radiative pressure is an important physical factor and can affect the structure and evolution of the massive star. The Roche lobe, three Lagrangian points and the corresponding Roche potentials are calculated according to the asynchronous rotational Roche potential which includes the radiative pressure. They are compared with the corresponding synchronous rotational Roche potentials. It is found that the centrifugal force greatly reduces the gravitational acceleration at the equator while the radiative pressure can reduce the gravitational acceleration of the massive star. Both the asynchronous rotation and the radiative pressure have an obvious influence on the Roche lobe, the positions of three Lagrangian points, the Roche potentials and the time of mass overflow. Therefore, it is very important to calculate the asynchronous rotational Roche potential which includes the radiative pressure in the massive close binaries.