Prime Minister Scott Morrison asked the speaker of the parliament to cancel a two-week session which was due to begin on 4 August.
The next meeting is planned for 24 August.
In a written statement, Morrison said: “The government cannot ignore the risk to parliamentarians, their staff, the staff within the parliament and the broader community.”
Victoria and New South Wales are currently experiencing a surge in cases. On Saturday New South Wales recorded 15 more cases while Victoria saw 217 new infections.