The parliamentary computers of Prime Minister Julia Gillard and at least two other senior ministers are suspected of being hacked, a newspaper report says.

Ms Gillard's parliamentary computer, along with those of several cabinet ministers including Foreign Minister Kevin Rudd and Defence Minister Stephen Smith were believed to have been compromised, News Limited newspapers report.

Julia Gillard... Happy to be cast as rolling the unions.

Thousands of emails are believed to have been accessed in the cyber attacks.

Four Australian government sources confirmed with the newspapers they had been told Chinese intelligence agencies were part of a list of suspected hackers.