In order to study the time evolution of the high-energy electron radiation in the circularly polarized intense laser pulse, a model of the interaction between the high-energy single electron and the intense laser pulse is constructed on the basis of the Lagrangian equation and the electron energy equation. Simulations and calculations are carried out through MATLAB to obtain simulated images of the time evolution of the spatial distribution of electron radiation. The results show that the electromagnetic radiation energy presents a vortex-like spatial distribution with time, and concentrates in the center after about 1000fs; the speed of the radiation concentrating inward gradually slows down over time. In addition, the maximum value of the radiant energy per unit solid angle will also increase with time, and the rate it changes first increases and then decreases. Around 450fs, the radiation energy levels off, then continues to climb slowly until it stabilizes at 1.18×10-12J/cm2 after 1000fs. Thus, ideal electron radiation can be obtained more easily by controlling the interaction time between electrons and laser light.