At the London talks, the quartet, which comprises Russia, the U.S., the UN and the EU, will discuss aid for the Palestinian territories along with leading foreign ministers from the Arab League, Israel and the Palestinian prime minister.
The agenda for the meeting will also include "fulfilling commitments on the road map, the situation in the Gaza Strip and humanitarian aid for Palestinians and security issues," the ministry said.
The talks will also discuss a proposed Middle East peace conference in Moscow. Russia earlier offered to host a conference in Moscow as a follow up to last November's U.S-sponsored meeting in Annapolis, Maryland.
During his visit to London the Russian foreign minister will also attend the next round of six-nation talks on Iran's controversial nuclear program.
The six countries - the United States, Britain, China, France, Russia, and Germany - have been involved in negotiations to persuade Iran to freeze uranium enrichment, which many countries fear is being used by Tehran as a cover for a nuclear weapons program.
At the previous 'Iran Six' meeting in Berlin the countries agreed to "work out further positive incentives for Iran."
"If our Western colleagues are ready to work on this, although they have not shown their readiness at the expert level, we are ready to discuss it," Lavrov said.
Iran has so far defied three rounds of United Nations Security Council sanctions over its nuclear program. It claims it needs the nuclear program for peaceful power generation.