In a heated Newsnight debate with former Northern Ireland secretary Theresa Villiers, Mrs Miller suggested the Lords were not to blame for any delays to the Brexit process.
Brexiteers Mrs Villiers said: “I believe that the amendment passed today is a recipe for stalemate and disruption.
Mrs Miller believes Theresa May's refusal to adopt the amendments is behind Brexit delays
It’s Government itself that’s holding up this process
“I think many people who backed this amendment in the House of Lords today… are trying to frustrate the process.
“They’ve given themselves the power to veto a deal, they’ve given themselves the power to veto leaving without a deal – essentially what they want is to keep us in and to disrespect the result of the referendum.”
Mrs Miller immediately hit back, claiming the Prime Minister and the Government should shoulder the blame for any Brexit delays because of their refusal to adopt the two amendments put forward by the Lords.
All the pictures from Brexit Bill Tuesday Tue, March 7, 2017
Theresa May is facing a second defeat on her Brexit bill Tuesday as the House of Lords votes on another change which would give parliament the final say on leaving the EU
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Archbishop of Canterbury, Justin Welby, speaks in the House of Lords Chamber at the start of the third day of The European Union (Notification of Withdrawal) Bill
She said: “I don’t understand why there’s so much argument about holding up Brexit because actually it’s the Prime Minister and the Government that are holding up Brexit.
“Just put in the two amendments – one is a morally right one, the other is common sense to have a Parliamentary safety net – put them in, stop the ping pong between the two Houses, trigger Article 50 and get on with the complex negotiations.
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Theresa Villiers said Lord Heseltine was 'out of line' after leading the Lords revolt
“It’s Government itself that’s holding up this process.”
The Remain campaigner hailed the Lords for refusing to give in to Government pressure.
She added: “That’s what’s so great about the House of Lords – they showed it could be done at a level that is civilised and grown-up and that you can respect other people’s points of view.”
The pair were debating on Newsnight following the sacking of Lord Heseltine
Mrs Miller also suggested there could be another Supreme Court case on the horizon if the Prime Minister tries to act without seeking parliamentary approval.
Asked if there is scope for another legal case if the Tory leader forces the negotiated Brexit package through the Lords, Mrs Miller told Newsnight presenter Evan Davis: “If you go back to the judgment in my case at the Supreme Court, it said that only Parliament could take away or diminish people’s rights.
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Gina Miller is leading the challenge that has blocked Theresa May triggering Article 50 without the consent of Parliament
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Gina Miller has won the case to block Theresa May from Article 50
“In 18 months time, we won’t know what rights have been taken away because we don’t know what the package will be.
“If you look at the judgment then there is some thinking that if Mrs May bypasses Parliament and doesn’t deliver on her promise, if this amendment doesn’t get in, there could be a case for us to take back to the Court to say ‘can she act on her own without Parliament?’”