Buzhinsky said the America and Kremlin should work on "simpler" Strategic Arms Reduction Treaty (known as START) to replace the current pact which expires in December2009.
Russia, he said, had proposed a new agreement to replace the START nuclear arms reduction treaty but that Moscow had received no response from Washington.
"We must not allow a vacuum... so we proposed the U.S. think about would could come to replace START-1, something simpler, lighter," he said, a Russian news agency reported.
The Strategic Arms Reduction Treaty, later named START-1, was signed by Soviet President Mikhail Gorbachev and U.S. President George Bush, the father of the current president, in July 1991.
He also proposed to interested countries the use of a radar base being built in Armavir, in southern Russia, to monitor Iran.