This led to the decision last month for Kaspersky software removed from government computers by Washington.
The Israeli officials who hacked into Kaspersky's network over two years ago then warned their United States counterparts of the Russian intrusion, said the New York Times, which first reported the story.
The Russian government has used popular antivirus software for the search of secret documents around the world. Around 400 million people worldwide use the company's software.
The Washington Post reported on Tuesday that the US National Intelligence Council (NIC) had told North Atlantic Treaty Organisation allies that it believed Russia's intelligence service, the FSB, had "probable access" to Kaspersky data on company customers and the antivirus source code. It said it was anxious that the Russian government had possibly compromised the firm. This access could allow cyber-attacks against the USA government.
Germany's Federal Office for Information Security (BSI) said it has no evidence to support allegations Russian Federation had used antivirus software made by Moscow-based Kaspersky Lab to spy on the United States.
The newspaper said the National Security Agency and the White House declined to comment, as did the Israeli Embassy, while the Russian Embassy did not respond to requests for comment.
Kremlin Press Secretary Dmitry Peskov has categorically denied information that NASA information had been stolen using Kaspersky Lab tools. Eugene Kaspersky, the company's co-founder and chief executive, continues to deny accusations that the company practices espionage on behalf of the Russian government.
US intelligence agencies have determined that Russian President Vladimir Putin organized a vast digital influence operation to assist Donald Trump win the presidency, a charge Moscow still denies.