MPs sitting in both the House of Commons and the Northern Ireland Assembly should not receive two salaries, the Government has said.

Northern Ireland minister Paul Goggins introduced a Bill in the Commons that means politicians can sit in both parliaments but will only get paid to be an MP. The Northern Ireland Assembly Members Bill also allows the Assembly to delegate control of its salaries and allowances to an independent body.

The Bill received cross-party support in the House of Lords last month, where Lords Leader Baroness Royall said she hoped its measures would be a "catalyst" for politicians to decide whether they wanted to sit in Westminster or in the Assembly.

Opening the second reading debate in the Commons, Mr Goggins said: "The consensus view in the House of Lords, and I hope and expect in this place too, is that where somebody claims the salary of an MP, they should get no salary as a member of the Assembly."

Northern Ireland MPs would continue to receive allowances in relation to both functions because "of course their constituents shouldn't suffer at all in terms of loss of service", he added.

Mr Goggins said the Northern Ireland Assembly was currently the only devolved administration that could not delegate the power to set salaries, and this Bill would bring it into line with Wales and Scotland.

For Tories, Laurence Robertson said his party supported the move to restrict dual salaries as being "in the right direction". But he said MPs should not be able to sit in devolved assemblies at all, as recommended by Sir Christopher Kelly's Committee on Standards in Public Life.

"If people are physically sitting in the Northern Ireland Assembly then they can't be physically sitting here," Mr Robertson said.

"They can't be on a committee in the Assembly and on a committee here. And I do think our constituents have the right to see us at least available for parliamentary business on a regular basis, and that simply isn't possible if people are required to serve in two places."

For the Liberal Democrats, Alistair Carmichael said the Bill was a "non-contentious piece of legislation".