"The meeting will be held in London July 10," Mikhail Kamynin said.
Russian Ambassador at large Sergei Yakovlev will be representing Russia at the meeting.
The situation in Gaza exploded recently after an ongoing power struggle between Islamist group Hamas and Fatah, which left many dead and Palestinian lands divided into two parts with Gaza being controlled by Hamas, and the West Bank under the control of President Mahmoud Abbas' Fatah movement.
In an attempt to end an international blockade, Abbas dissolved the national unity government forming an emergency Cabinet, which received backing from the international community.
Hamas has refused to recognize Abbas' decision, continuing to work in the Gaza Strip, and was involved in securing the release of journalist Alan Johnston Wednesday, who was held by a radical Islamic group for 114 days.
Israel and Western powers consider Hamas a terrorist organization.
Unlike the other members of the Middle East quartet which have backed Fatah, Russia has insisted all Palestinian factions be engaged in the peace process and said dividing Palestinian territories is dangerous.