In order to study the relationship between the radiation of high-energy electrons and the electron’s initial position, a scattering model of a single high-energy electron interacting with a Gaussian laser pulse was constructed according to the Lagrange’s equation. And the method of numerical simulation was adopted to obtain the trajectory of the electron and the spatial radiation characteristics of the scattered light by MATLAB. The influence of the initial position of the electron on the space energy radiation was discussed in detail. The results show that the initially static high-energy electron first oscillates in the +z direction in a plane, and then travels along a straight line after interacting with the linearly polarized tightly focused intense laser. Both the maximum radiated energy and its corresponding radiation direction are greatly affected by the electron’s initial position, while a peak value of the former exists as the initial position of the electron moves to the positive direction of z axis, and the azimuth angle of the latter stays unchanged while the polar angle gradually decreasing but finally stabilizing. The maximum radiation energy in the whole space is obtained when the electron is initially set at (0,0,－7λ0) (λ0 is the wavelength of the laser) with the polar angle and the azimuth angle being 23.5° and 180°, respectively. The research indicates that the highest possible intensity of radiation can be obtained by setting the electron’s initial location reasonably.