Labour will not "frustrate" the process for invoking Article 50, Jeremy Corbyn said after the Supreme Court ruled that Parliament must give permission to start the formal mechanism for Brexit.

But the Labour leader said his party would seek to amend the legislation in order to prevent Theresa May allowing the UK to become a "bargain-basement tax haven".

The SNP has vowed to table 50 amendments to any legislation, while the Liberal Democrats have said they will oppose the triggering of Article 50 unless there is a second referendum on the final deal.

Read more: UK Government loses Supreme Court appeal over Brexit

Mr Corbyn said his party wanted the final deal to be put to a "meaningful vote" in Parliament instead of a plan which would see the proposed deal presented with no option for renegotiation.

He said: "The Government has today been forced by the Supreme Court to accept the sovereignty of Parliament.

"Labour respects the result of the referendum and the will of the British people and will not frustrate the process for invoking Article 50.

"However, Labour will seek to amend the Article 50 Bill to prevent the Conservatives using Brexit to turn Britain into a bargain-basement tax haven off the coast of Europe.

"Labour is demanding a plan from the Government to ensure it is accountable to Parliament throughout the negotiations and a meaningful vote to ensure the final deal is given Parliamentary approval."

The SNP, the third largest party in the Commons, will put forward dozens of "serious and substantive" amendments to the legislation.

Former Scottish first minister Alex Salmond, the SNP's international affairs spokesman, said: "We welcome the Supreme Court's decision and hope that their ruling brings this Tory Government back to the reality that they cannot simply bypass elected parliamentarians to fulfil their role in carrying out due and proper scrutiny of one of the biggest decisions facing the UK."

He said the SNP's amendments would ensure that the devolved administrations are treated as "equal partners".

"If Theresa May is intent on being true to her word that Scotland and the other devolved administrations are equal partners in this process, then now is the time to show it.

"Now is the time to sit with the Joint Ministerial Committee and not just casually acknowledge, but constructively engage. Consultation must mean consultation.

"Our amendments will address the very serious concerns facing the UK and the very real issues that the UK Government has, thus far, avoided."

Lib Dem leader Tim Farron said: "This Tory Brexit Government are keen to laud the democratic process when it suits them, but will not give the people a voice over the final deal. They seem happy to start with democracy and end in a stitch-up.

"The Liberal Democrats are clear - we demand a vote of the people on the final deal and without that we will not vote for Article 50."

Read more: UK Government loses Supreme Court appeal over Brexit

Green Party co-leader Caroline Lucas confirmed she would vote against triggering Article 50 on the timetable set out by the Prime Minister.

Mrs May has vowed to trigger Article 50, starting the formal two-year countdown to Brexit, by the end of March.

Ms Lucas said: "The spotlight now falls on MPs - and in particular the Labour Party - to properly scrutinise the Government's plans and act accordingly.

"That must mean that Labour rethink the support they've given to triggering Article 50 prematurely, and instead join those of us who refuse to be pushed into Theresa May's artificial Brexit timetable."

Ukip's sole MP, Douglas Carswell, said the ruling cleared the way for Mrs May to trigger Article 50.

"All the lawyers in London are not going to be able to stop us leaving the European Union," he told Sky News.

"We need two votes - one in the House of Commons, one in the House of Lords. If either of those chambers attempt to veto the will of the people, we can replace the Commons with a general election and we can certainly replace the Lords by creating 800 new peers."

Ukip leader Paul Nuttall said: "This decision is hardly a surprise but in the end it will make no real difference.

"The will of the people will be heard, and woe betide those politicians or parties that attempt to block, delay, or in any other way subvert that will.

"Other than making clear that this is a decision of the whole United Kingdom, rather than its constituent parts, what we can clearly see is that it will embolden those who rail against the decision of the people.

"It may give heart to those in the EU, used as they are to ignoring their own people, to attempt to play hard ball in the negotiations.

"But in the end I am convinced that, though this skirmish has been lost in the courts, the war will be won".

Pro-Brexit Labour MP Kate Hoey, of the Labour Leave campaign, said the party risks losing the upcoming parliamentary by-elections in Copeland and Stoke-on-Trent Central if it seeks to block Article 50.

Read more: UK Government loses Supreme Court appeal over Brexit

"If Labour MP's are seen to be frustrating the will of the people by opposing Article 50 then they will lose their seats," warned Ms Hoey.

"It is time for the Labour Party to support the Government by voting for Article 50 and working together to ensure the United Kingdom enjoys the global opportunities Brexit provides."

Labour Leave chairman John Mills - a major party donor - said: "If Labour is to stand a chance of winning in 2020 or 2025 it needs to win over Tory and Ukip voters, the overwhelming majority of whom voted to leave the European Union.

"If we continue to flap about on this issue instead of getting on with making a success of Brexit the voters will not forgive us.

"It is time for the Labour Party to unite around Brexit and present its own vision for Britain outside the European Union."

Prominent Brexiteer and Conservative MP Dominic Raab, a supporter of the Change Britain campaign, said: "The Government was right to appeal, and the Supreme Court has usefully made clear that a short Bill authorising the start of negotiations is all that is needed.

"Let's have an end to the wrecking tactics.

"Every democrat in Parliament should now support this legislation, so we can get on and deliver on the will of the British people, and secure the best possible deal for the whole country."

MP Anna Soubry, who was one of the most vocal Conservative advocates of a Remain vote, said: "Our independent judiciary are to be congratulated on their wise judgment. Parliamentary sovereignty protected."

Read more: UK Government loses Supreme Court appeal over Brexit

Labour MP John Mann said: "The Supreme Court has been very clear.

"The Government must now publish the Brexit Bill and I expect it to receive overwhelming support in Parliament.

"A straightforward Brexit Bill will sail through Parliament and it is time for the Government to get on with this."

Martha Spurrier, director of civil liberties group Liberty, said: "Our democracy hinges on two principles: no one is above the law and Parliament is supreme. Today's ruling upholds those principles.

"Thanks to our independent judges, Mrs May's Government will be exposed to the antiseptic of parliamentary scrutiny.

"This is not a political decision - it is our democracy in action."

Foreign Secretary Boris Johnson said in a tweet: "Supreme Court has spoken. Now Parliament must deliver will of the people - we will trigger A50 by end of March. Forward we go!"

Lord Newby, leader of the Liberal Democrats in the House of Lords, said it was not the role of peers to vote down the Bill.

He told Sky News: "I don't think the House of Lords is going to seek to stop this Bill from being enacted within the due time and the Government will then start its negotiations.

"But one of the few agreed roles of the House of Lords is that if it thinks the Government and the House of Commons has got something wrong it can ask them to think again."

Leave.EU chairman Arron Banks said: "Today's judgment gives our out-of-touch establishment the ability to soften or delay the clean Brexit a majority of the British people voted for.

"The people have been let down. Parliament gave us a referendum and the people had their say, yet the power has now been handed back to Westminster by our unelected establishment judges. This decision shows how broken the system is - true democracy is being thwarted.

"This Tory Government wants to be a champion for ordinary people, now May must prove it by driving Brexit through Parliament post-haste - 17.4 million voters will be watching her every move."