Vladimir Popovkin told Ekho Moskvy radio that Obama's move has made the deployment of Iskander short-range missiles in the Kaliningrad region unnecessary.
"Reason has prevailed over ambitions," Popovkin said. "Naturally, we will cancel countermeasures which Russia has planned in response."
There had already been signals that Russia would scrap the plan after Obama's move, announced Thursday, but Popovkin's statement is the clearest announcement of it.
Russia staunchly opposed the plan by the former administration of George W. Bush to deploy 10 missile interceptors in Poland and a related radar in the Czech Republic and said if the project went ahead it would respond by deploying the Iskander missiles in its westernmost Baltic Sea region.
Obama's decision to scrap the plan was based largely on a new U.S. intelligence assessment that Iran's effort to build a nuclear-capable long-range missile would take three to five years longer than originally thought, U.S. officials said. The new U.S. missile-defense plan would rely on a network of sensors and interceptor missiles based at sea, on land and in the air as a bulwark against Iranian short- and medium-range missiles.
Medvedev hailed Obama's decision as a "responsible move," but Russian officials have given no indication yet that Moscow could edge closer to the U.S. stance on Iran. Washington is counting on Moscow to help raise pressure on Tehran over its nuclear program.
Obama is to meet with Russian President Dmitry Medvedev at the United Nations and the Group of 20 economic summit in the coming week.