"Today, Lavrov and a number of accompanying persons have been granted [US] visas," the ministry told reporters.
The department also said that it expected the issuance of US visas for other members of the Russian delegation and prompt resolution of the logistical issues.
This comes after Moscow repeatedly warned US authorities about their reluctance to grant Russian diplomats entry to the UN, stressing that it is Washington's duty and not a privilege.
The UNGA 77, which will run from September 13-27 with high-level debate set to begin on September 20, marks the first in-person gathering of the body since the start of the COVID-19 pandemic.