British and USA intelligence services released a joint statement on Monday evening saying the main targets included "government and private-sector organisations", as well as providers of "critical infrastructure" and internet service providers.
The FBI, Department of Homeland Security (DHS) and the UK's National Cyber Security Centre (NCSC) have issued a joint Technical Alert about malicious cyber activity conducted by the Russian Government.
They cited cyber security research organisations and other governments as providing evidence of such attacks, without providing details of their timing or scale.
Mr Martin said internet companies were being offered advice to counter the threat.
"We don't have full insight into the scope of the compromise", said Jeanette Manfra, a cybersecurity official for the US Department of Homeland Security.
USA and United Kingdom relations with Vladimir Putin's administration are at a low point, following the alleged use of nerve agent to poison a former double agent in Britain in March and the US -led bombing of Syria over the weekend after the Russian ally's alleged use of chemical weapons on civilians.
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"This attempt by Russian Federation is a sharp reminder that Australian businesses and individuals are constantly targeted by malicious state and non-state actors", Mr Taylor said.
Howard Marshall, FBI Deputy Assistant Director said: "The activity highlighted today is part of a repeated pattern of disruptive and harmful malicious cyber action carried out by the Russian government". Still, all the agencies in Monday's advisory said their new warning wasn't related to such recent events. This is mentioned in the joint statement by the US and British government.
Kremlin spokesman Dmitry Peskov told reporters in a conference call Tuesday that London and Washington had not presented any evidence regarding the hacking.
In June and July 2017 they saw Russian actors using software created by Internet network company Cisco that allows networks to be profiled to scan for vulnerable systems and routers.
The alert warns that the main targets of this malicious cyber activity are critical infrastructure providers and government and private sector organisations, as well as ISPs supporting these sectors.
Such attacks, where computers are bombarded with requests from other computers that have already been hacked until they crash, are a well-known weapon in cyberwarfare.