In a letter to The Times, he said it was unprecedented for a U.S. president to be given a state visit in their first year in the White House and questioned whether Mr Trump was "specially deserving of this exceptional honour".
However, it is unlikely the state visit invitation will be withdrawn.
It was the second most popular petition ever on the parliamentary website, after one calling for a second referendum on membership of the European Union drew over 4 million signatures past year.
The Parliament debate is scheduled to be held February 20.
British Foreign Secretary Boris Johnson attacked Donald Trump's "divisive and wrong" travel ban, as he faced a grilling from MPs on Monday evening (30 January).
The executive order, which shut down the United States refugee programme for 120 days and halted all immigration from Somalia, Iran, Iraq, Syria, Sudan, Libya and Yemen for 90 days, prompted thousands of Londoners to march on Downing Street on Monday evening.
Mr Trump's sweeping executive order for "extreme vetting" means no visas are being issued for 90 days to migrants or visitors from Iran, Iraq, Libya, Somalia, Sudan, Syria and Yemen.
More than 1.6 million people in the United Kingdom have signed a petition asking the government to cancel President Donald Trump's state visit, according to NBC News.
May was the first foreign official to visit the White House after Trump's inauguration.
Norman Smith, BBC News Assistant Political Editor, confirmed early in the morning that Downing Street would not be cancelling the new president's visit: "The invitation has been issued and accepted".
Outrage is growing over Trump's immigration crackdown with tens of thousands of protesters gathering in London and other British cities on Monday night to demonstrate against the ban and planned state visit.
Should Donald Trump be received by the queen?
"Of course I agree with the Prime Minister that our relationship with the U.S.is absolutely critical and I think that everybody will accept that the President should pay a visit to the U.K.", Ricketts said.
"To be clear, the prime minister extended an invitation on behalf of the Queen - and she was very happy to do so. Every sign is that it is a Muslim ban, based upon the words of mister Trump himself, when he called it such in his campaign", the Conservative peer said.
The Duke drama hit its peak on Thursday this week when a meeting at coach Mike Krzyzewski's house was made public. Duke is also 2-10 ATS in their last 12 versus the ACC, and 1-7-1 ATS in their last nine road games.
Stewart, a Toronto native, is known for his documentaries that include " Revolution " and his memoir "Save the Humans". The CBC reported that Stewart was diving at a wreck off Islamorada when he resurfaced to be picked up by a boat.
It's tempting to go straight for Overs here, as it's trading at a big-looking [2.12] and Liverpool have a reputation for goals. Chelsea have been very fortunate with injuries all season, and Conte has all of his key names available.
The winger signed a new £125,000-a-week five-year contract in February last year, and appeared to be happy in East London. But former Hammers defender Ferdinand has blasted the actions of Payet and his advisers.
Facebook Profit Surges On Ad Revenues
Profit reached $3.568 billion with revenue growth at 177% YoY, compared to $2.379 billion last quarter. Monthly active users (MAUs ) were 1.86 billion as of December 31, 2016, up 17% from December 2015.
Leaked Images & Information Surface Of Upcoming Samsung Galaxy S8
It's also reported that the lower part of the screen will also be pressure-sensitive, similar to the iPhone's 3D Touch technology. As noted, the Korean mobile phone company has finally issued an official statement about the cause of the Galaxy Note 7 incident.
Tech vs Trump in immigration battle
Amazon and Expedia have submitted declarations in a federal court in Washington, claiming that a recent immigration order by U.S. Amazon is one of many tech giants scrambling to protect its employees in the wake of Trump's executive order.
Austrian government moves to ban full-face veil
According to Chancellor Christian Kern, the ban will be implemented over the next 18 months, The Sun reported . It is now a draft law, but the ban is due to come into force before the next parliamentary vote in 2018.
A Bobcat Escaped Her Enclosure At The National Zoo
A bobcat has gone missing after apparently escaping its enclosure at the Smithsonian's National Zoo, the zoo said Monday. Saffoe said Ollie is equipped to survive and that bobcats sometimes catch birds that land in their enclosure.
Will Trump add Saudi Arabia and Egypt to his Muslim ban?
Relations suffered briefly after 15 Saudi nationals took part in the September 11, 2001, attacks on NY and Washington . Trump will also talk to the acting president of South Korea, Hwang Kyo-Ahn, the White House said on Saturday.
57 killed in USA raid against Al-Qaeda
An American special operations service member has died from injuries sustained during a raid against militants in Yemen. The official said more than 50 people were killed in the early morning raid, including eight women and eight children.