The House of Commons has narrowly rejected by three votes a plan to keep Britain in a customs union with Brussels after Brexit.

MPs voted by 273 to 276 against Conservative MP Ken Clarke's customs union proposal, while fellow Tory Nick Boles' "Common Market 2.0" plan lost by 261 to 282, a majority of 21 against.

Also known as the "Norway plus" plan, it proposed single market membership and a customs arrangement with the EU.

It is the second time Parliament has seized control of Commons business from the government to vote on Brexit options, and both times it has failed to find a majority for any alternative.

It comes as the Prime Minister looks to put her own deal to another vote ahead of the latest EU exit deadline on April 12.

Two other motions were rejected by MPs in Tuesday's votes, including one tabled by SNP Joanna Cherry to stop a no-deal Brexit by revoking Article 50.

It was defeated by 191to 292 - opposed by a majority of 101 and with Labour MPs whipped to abstain.

A fourth motion calling for a referendum on any deal was beaten by only 12 votes, with 280 for and 292 against.

Despite seeing the withdrawal agreement again defeated on Friday, Theresa May wants to bring her deal back to the Commons for a fourth time in a final bid to get it over the line.

If she fails to pass a deal this week or next, May will be forced to go empty-handed to an emergency European Council summit, starting on April 10, to potentially appeal for a longer Article 50 extension.

Advocating for her measure to stop no-deal during Tuesday's debate, Ms Cherry said: "It is not in the interests of Scotland for the Scottish economy to go down the tube with a no deal Brexit.

"It's not in the interests of the English, Welsh and Northern Irish economies to go that way.

"If we crash out with no deal it will be the jobs of ordinary decent working people that go first."

The SNP MP added she was "trying to ensure that the Prime Minister doesn't go naked into the conference chamber" on April 10.

The Commons faced a brief nakedness crisis of its own earlier in the day when dozen or so men and women dressed only in their underwear stood up in the public gallery.

The group of climate change protesters had slogans written on their torsos like "Climate justice act now", and some pressed their backsides against the security glass.