To obtain the optimal radiation characteristics of the electron under the collision of a circularly polarized laser pulse, several transverse initial positions of the electron are selected with the method of controlling variables by using MATLAB programs. The effect of the transverse initial positions of the electron on the trajectory and radiation characteristics of high-energy electrons is discussed. The results reveal that when the transverse initial position of the electron moves in the positive x-axis direction, the circularly polarized intense laser pulse has a considerable effect on the electron trajectory and radiation properties. According to the analysis of the radiation power of the electron, when the transverse initial position is 0.15 λ0 (λ0=1 μm), the maximum radiation power generated by the spiral motion of the electron will reach the optimal state. By simulating the model of the interaction between circularly polarized intense laser pulses and electrons, the distribution of electron radiation power in the entire space is found, which provides a theoretical basis for accurate experiments in practice.