Based on the assumption of the creeping flow with small Reynolds number, a coupled model of bubble rising and mass transfer was established. Through numerical simulation, the velocity field inside and outside the bubble and the deformation of the bubble at different time under different voltage conditions were studied. The behavior characteristics of bubbles under different electric fields were compared and analyzed. The results show that the electric field force has an effect on the flow field and the shape of bubble rising. Under the action of voltage, the bubbles are elongated and deformed along the field strength direction. The electric stress on the bubble interface is the key factor of bubble deformation. With the electric field applied, the flow rate of liquid and the volume fraction of vapor near heat source increase. The degree of inconsistency increases with the improvement of electric field intensity. Electric field enhances convection and disturbance of fluid. The thermal efficiency of fluid near heat source improves. The process of bubble growth and detachment accelerates. The thermal resistance between the heat source and the fluid decreases, and the heat transfer efficiency increases. The research results can be guided for further studying the mechanism of electric field enhanced boiling heat transfer.