Minister warns Donald Trump to 'live up to his promises' on investments in UK as MPs dismiss calls to ban him
But Keir Starmer, a Labour member of parliament, warned against making light of Mr Trump's language and called his plan to ban Muslims from America "repugnant".
Mr Brokenshire said: "Mr Trump has threatened to withhold investment in Scotland in response to the calls to ban him from the UK.
"Over the years Mr Trump has made a number of statements about the different scale of his investment in the UK and his willingness to maintain them.
"The UK is the number one destination in the European Union for inward investment, the World Bank has ranked the UK as the sixth easiest place in he world to do business, so any organisation that makes promises about investment in the UK should live up to those promises."
The minister refused to comment on whether the American is on a list to be considered for a ban, but reiterated that the US is one of the UK's closest allies.
He added that there is no appetite to prevent Mr Trump from coming to Britain and that extreme views must be challenged by "robust debate".
Naz Shah, the Labour MP for Bradford West, said she would not back a ban but instead invited Mr Trump to come to her constituency for a curry to see how Muslim communities in the UK live together.
She added: "I think it's important for us in the name of democracy to challenge the narrative ... to challenge that hatred speech that comes out of his mouth.
"I stand here as a proud British Muslim woman ... Donald Trump would like me banned from America ... in my Islam ... what it teaches me, is that goodness is better than evil, if someone does bad, you do good in return.
"Hatred breeds hate and that is not something that I will tolerate."
Paul Flynn, who led the debate, warned banning Mr Trump would allow him "martyrdom" and warned it would increase his publicity across the world.
Tory Kwasi Kwarteng said a ban would be "insane", adding: "The answer to his ban is not to ban him. He’s banning Muslims – in his own mind he’s saying Muslims are a danger to the US.
"We are saying the same thing.
"The implied logic is exactly the same – the circumstances are different but the logical force is exactly the same."
But Tulip Siddiq, who supported a ban, said Trump's words "are not funny, his words are poisonous" and added they "risk inflaming tension between vulnerable communities."
She said: "As politicians we have to make very difficult decisions and one of the decisions we have to make is when freedom of speech actually insults public safety."
Sarah Malone, executive vice president of Trump International Golf Links which owns Turnberry golf course in the north of Scotland, issued a statement ahead of today's debate calling it "absurd".
She said she couldn't believe "valuable parliamentary time was being wasted debating a matter raised as part of the American Presidential election".
Mr Trump threatened to pull planned investments from his Scottish golf resorts - Trump International Golf Links in Aberdeenshire and the Trump Turnberry resort in South Ayrshire - if a ban is put in place.

Source: http://telegraph.feedsportal.com/c/32726/f/579309/s/4cf4122f/sc/13/l/0L0Stelegraph0O0Cnews0Cworldnews0Cdonald0Etrump0C1210A68670CMinister0Ewarns0EDonald0ETrump0Eto0Elive0Eup0Eto0Ehis0Epromises0Eon0Einvestments0Ein0EUK0Eas0EMPs0Edismiss0Ecalls0Eto0Eban0Ehim0Bhtml/story01.htm