Prime Minister Tony Abbott has taken the unusual step of speaking about a cabinet meeting after extraordinary leaks about the government's approach to anti-terror legislation.

Mr Abbott said on Sunday that moves to strip the citizenship of Australians involved with terrorism had been "overwhelmingly endorsed" by the cabinet at a meeting last Monday.

Prime Minister Tony Abbott dismissed as "false reports" leaks that several senior ministers had strong objections to the proposed measures. Credit:Steven Siewert

Two days after Fairfax Media published a blow-by-blow account of the meeting, Mr Abbott dismissed as "false reports" leaks that several senior ministers had voiced strong opposition to measures being proposed.

The government is preparing legislation that would give the immigration minister the power to strip dual nationals of their Australian citizenship, without a court process, if they are involved in terrorism.