"Russia is concerned by the lack of progress in negotiations between President Mwai Kibaki and Kenyan opposition leaders," the statement said. "We appeal to all Kenyan political forces to continue the ongoing dialogue and prevent another flare-up of violence."
More than 1,000 people have been killed and around 300,000 forced from their homes in Kenya since violence broke out after the disputed December 27 presidential election, in which Mwai Kibaki was elected to a new term.
On February 5, former United Nations Secretary General Kofi Annan chaired peace talks between the government and the opposition.
The conflict broke out after the opposition, led by Raila Odinga, refused to recognize Mwai Kibaki's victory in the election, which both international and local observers said was rigged. The fighting escalated into an ethnic conflict, with public anger focusing on the ruling Kikuyu tribe.
Earlier this month, the rival factions drafted a plan of joint action to solve the crisis.
As possible resolutions, Kofi Annan, who wants a special commission set up to investigate the violence, suggests a power-sharing deal between the parties, the creation of an interim government before a new presidential vote, and verification of election results.