MOSCOW — Fugitive leaker Edward Snowden has agreed to Russia’s demand that he stop anti-American activity and has asked for temporary asylum, a Russian lawyer advising him said yesterday.

Asked if Snowden would stop leaking secret US documents, lawyer Anatoly Kucherena replied, “yes.”

Snowden, who exposed classified US programs that collect telephone and Internet data, lodged his bid for temporary asylum yesterday, Kucherena said.