A two-temperature model of copper is established based on the COMSOL simulation software. The effects of spot radius and laser energy on the temperatures of electron and lattice are numerically investigated via the control of variables, and thus the ablation morphology is predicted. The results show that the larger the spot radius of the single-shot laser, the smaller the ablation depth and the larger the ablation area. In contrast, the higher the laser energy, the larger the ablation depth and the larger the ablation area. The reliability of the simulation is verified by the experimental results.