Russia says it will begin pulling its troops out of Georgia from tomorrow.
President Dmitry Medvedev made the promise today during a phone call with the French leader Nicolas Sarkozy, who brokered the ceasefire.
Mr Sarkozy is warning of serious consequences if the withdrawal doesn't take place, while US presidential hopeful John McCain says Russia's actions are unacceptable.
"They had democracy and a great little nation, "said Mr McCain. "And now the Russians are coming in there in an act of aggression. We have to not only bring about ceasefire but we have to honour the most fundamental right of any nation - territorial integrity".