"We have already filed documents to extend his stay in Russia," Anatoly Kucherena said.
Kucherena did not say for how long Snowden wanted to extend his stay, which status he was seeking or whether he wishes to become a Russian citizen.
Snowden has been in Russia since flying in from Hong King in June last year after shaking up America's intelligence establishment with a series of leaks on mass surveillance in the United States and around the world.
Although he gradually increased his media visibility by giving several tightly-controlled interviews, his life in Russia is still a mystery and only a series of reported sightings seem to indicate that he remains somewhere in or around Moscow.
He had applied for asylum in other countries and admitted that he would like to go home, where he faces espionage charges that could lead to a lengthy prison term.