The party's MPs followed Westminster leader Ian Blackford out of the House of Commons chamber on Wednesday after he was was ordered to leave by Speaker John Bercow.
Mr Blackford asked for the House to sit in private but, after being rebuffed by Mr Bercow, he continued his protests.
Speaking to the BBC immediately after the incident, Mr Blackford said: "Scotland's voice has not been heard, we have had changes to the devolution settlement that were pushed through last night without Scottish MPs voices being heard".
"I have a duty on behalf of my colleagues, on behalf of the First Minister and the government of Scotland and of the Parliament of Scotland, to stand up against the betrayal that has taken place of the Scottish people with the unprecedented power grab which is taking place".
Mr Bercow shouted "not now" and demanded the SNP chief resume his seat - eventually expelling him for the rest of the day when he refused.
The SNP claim the EU Withdrawal Bill opens the door for a Westminster power grab which takes away from the Scottish Parliament and undermines devolution.
Saudi envoy: Hodeidah's liberation will replenish major lifeline for Yemenis
Neither the coalition nor the rebels have confirmed the death of the leader's brother, the Saudi Khabar Ajil media said. CARE International, one of the few aid agencies still there, said 30 air strikes hit the city within half an hour.
What had Ian Blackford said?
He insisted what had happened in the Commons was a "democratic outrage", adding: "Without debate, without the voices of Scottish MPs being heard, the government pushed through these amendments to rip out the powers from the Scottish Parliament".
He used the parliamentary procedure to ensure the will of the Scottish Parliament is respected and that Brexit legislation pauses until the Scottish Parliament's motion is considered as the United Kingdom leaves the European Union.
He then demanded a vote on the issue, something which Bercow refused to consent to until PMQs had concluded. My mixed sequence of advice is that is better for the vote to be conducted at the conclusion of questions to the prime minister... Yet last night she pressed ahead with a power-grab in direct opposition to Scotland's elected Parliament. Proceedings on the EU Withdrawal Bill last night were a democratic outrage and the Scottish Parliament must be respected. Look at this morning's interview with Scottish secretary David Mundell, who was repeatedly asked why there was next to no time given for debate of issues related to devolution.
SNP leader Nicola Sturgeon has said she was "right behind" Blackford and accused Westminster of treating Scotland with "contempt".