The model given by Singh for vacuum laser acceleration in a static magnetic field is revisited by using the fifth order corrected laser field equations of a focused laser beam in which the diffraction effect and the longitudinal electric field of a focused laser beam are considered. However, the static magnetic field is replaced with a static electric field in our model. Simulation shows that the electrons can gain much more net energy in this model than that without the added field. Due to the added static electric field, the electrons can be drawn out of deceleration phase from one acceleration stage and directly enter to next acceleration stage.