British Prime Minister Theresa May defended her Brexit plan on Sunday, saying getting rid of her as leader won't make the process of leaving the European Union "any easier."

May was speaking at the end of a tumultuous week in which she presented her draft agreement on how the UK would leave the EU, a deal that sparked multiple resignations from her government.

"These negotiations have been tough right from the start, but they were always going to get more difficult towards the end," May told Sky News on Sunday.

"(Replacing me) is not going to make the (Brexit) negotiations any easier and it won't change the parliamentary arithmetic," she added.

She defended her deal as "what's right for the people of this country" and "the national interest."

"That's what drives me and that's what I am being driven to deliver," she said, adding: "I think that's what this deal does."

With her own leadership reportedly under threat from rebellious MPs, a defiant May denied she had thought about quitting and reiterated that the UK will leave the EU on March 29, 2019.

News ExpressAt least 21 Conservative MPs have publicly submitted letters of no-confidence in May and demanded that she step aside. A total of 48 letters are needed to trigger a party leadership election that could topple her as prime minister. (CNN)