British MPs will return to the Parliament later Wednesday after the top court ruled that its suspension was unlawful.
The House of Commons will reconvene at 1030 GMT.
Prime Minister Boris Johnson, who said he "profoundly disagreed" with Tuesday's landmark ruling, is flying back early from a UN summit in New York.
"We in the UK will not be deterred from getting on and delivering on the will of the people to come out of the EU on October the 31st, because that is what we were mandated to do," he said.
Meanwhile, opposition leader Jeremy Corbyn, who was also forced to bring forward his set-piece annual conference in Brighton, has repeated his demand for the PM to step down.
"Boris Johnson has been found to have misled the country. This unelected prime minister should now resign," he said.
On Tuesday, the Supreme Court ruled that Johnson's decision to suspend it for five weeks was unlawful and therefore null and void.
Eight Israeli airstrikes have hit the Abu al-Duhur military airbase in northwestern Syria early on Tuesday, targeting the runway and storage facilities, Syria's state-run Ekhbariya said, citing a military source.
Two students were killed in a shooting at a high school in the southern Philippines on Tuesday, one of them the gunman, officials said, in the second such incident in the country in less than two months.
The Supreme Court of Pakistan has ordered on Tuesday that former Prime Minister Imran Khan be moved to hospital from jail, his Pakistan Tehreek-e-Insaf party said, meeting a longstanding demand of his party and family, who had raised concerns about his health.
A Russian missile attack has killed 10 people and injured a further eight in a village in Ukraine's northeastern Kharkiv region, the regional governor said on Tuesday.
President Donald Trump said on Monday Iran would not make the deal he thinks is needed to end a war with the US and should surrender as talks between the countries remained stalled.