The pseudorabies virus is a widespread swine pathogen that has caused significant economic losses to the global pig industry. Due to the emergence of PRV variant strains in recent years, vaccines cannot provide complete protection against the infection of PRV. Therefore, the research on antiviral compounds is of great importance for PRV treatment. In this study, an EGFP-labeled PRV was used to screen anti-PRV compounds from 86 natural product extracts. Gallocatechin gallate was found to efficiently inhibit the replication of PRV with a half-maximal inhibitory concentration (IC50) of 0.41 μM. In addition, it was found that gallocatechin gallate was unable to directly inactivate PRV and had no effect on the attachment stage of PRV. However, it was found that gallocatechin gallate significantly suppressed the viral entry stage. Furthermore, it was found that the release stage of PRV was also significantly suppressed by gallocatechin gallate. Together, this study found that gallocatechin gallate could efficiently inhibit the replication of PRV by suppressing the entry and release stages of PRV, which will contribute to the development of a new therapeutic strategy against PRV infection.