Malcolm Turnbull says Islamist terrorists have succeeded in raising levels of anxiety about Muslim immigration and about the role of Islam within Australia, but he says political leaders have to reassure and "explain the facts" rather than add to disunity.

The prime minister joined on Monday with the Labor leader, Bill Shorten, in moving a parliamentary motion denouncing "racial intolerance in any form" and reaffirming Australia's commitment to a non-discriminatory immigration policy.

Monday's parliamentary debate follows Pauline Hanson's declaration in her first speech to the Senate in mid-September that Australia was in danger of being swamped by Muslims, and an Essential poll that found 49% of Australians support One Nation's call for a ban on Muslim immigration.

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