The Muslim Council of Britain (MCB) said Trump must ensure his win does not pave the way for bigotry.
"The people of the United States have clearly spoken and I congratulate Mr Trump. There is however, a justifiable concern about his election," said MCB secretary-general Harun Khan.
He added: "It is hugely worrying that a man who has openly called for discrimination against Muslims and other minorities has become the leader of a superpower nation.
"We hope the bombast and rhetoric we have seen from Mr Trump in the last few months gives way to a more reconciliatory approach.
On the campaign trail, Trump had made the call for a "total and complete shutdown" of America's borders to Muslims in December last year in the wake of the San Bernardinoterror attack.
Meanwhile, it emerged that Trump's team has removed the statement on his website toban all Muslims from the US.
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