In a statement issued before she left for her India visit, May said "while others seek to tie our negotiating hands, the government will get on with the job of delivering the decision of the British people.
"It was MPs who overwhelmingly decided to put the decision in their hands. The result was clear. It was legitimate. MPs and peers who regret the referendum result need to accept what the people decided," she said.
May, however, said she is confident of winning an appeal in the Supreme Court against the High Court ruling.
The government appeal against the High Court verdict is expected to be considered by the Supreme Court early next month.
Also Read
May has said she still plans to launch talks on the terms of Brexit by the end of March, 2017.
"We need to turn our minds to how we get the best outcome for our country," she said.
Opposition Labour leader Jeremy Corbyn has said he will not seek to reverse the referendum result.
But, he told the 'Sunday Mirror' that he would vote against Article 50 unless May agreed to press for continued access to the European single market and guarantee EU workplace rights after Brexit.
"We are not challenging the referendum. We are not calling for a second referendum. We're calling for market access for British industry to Europe," he said.
Disclaimer: No Business Standard Journalist was involved in creation of this content