Abstract: 188 college students were selected for scenario experiments. Based on the normative social behavior theory, it explores the impact of other people’s punishment information and different social norms on third-party punishment. Study 1 shows that the third party punishment of the high others punishment information group was significantly higher than that of the low others punishment information group. Study 2 shows that descriptive norms and prescriptive norms in social norms have a significant impact on third-party penalties; at the same time, the interaction between the two is significant. When the descriptive norms are low, regardless of whether the prescriptive norms are at a higher or lower level, the three partie’ penalties are low, and when the descriptive norms are high, the enhancement of the prescriptive norms can increase the penalties of third parties. This study provides a theoretical basis for people to use other people’s punishment information to shape social behavior norms, the execution of third-party punishment, and to form a better social cohesion.