The research concluded two thirds of British people (64 per cent) believe an MP who believes homosexuality is a sin should be free to express such a view.
Conducted by ComRes, the study was commissioned by the Christian Institute following controversy surrounding Liberal Democrat leader Tim Farron's view on homosexuality.
After repeatedly being asked by journalists his views on homosexuality, the Christian politician told the BBC on Tuesday he did not believe homosexual activity was sinful.
Colin Hart, director of The Christian Institute said: "The intolerance shown towards a politician, just because he was thought to believe that gay sex is wrong, is deeply troubling.
"The poll shows Mr Farron needn't have worried. Most voters think politicians should be free to speak on such matters."
Mr Farron's previous reluctance to clarify his views on homosexuality subsequently drew criticism from commentators including Guardian journalist Owen Jones who branded the situation an "absolute disgrace".
Colin Hart added: "Historic Christian belief holds that gay sex, adultery and sex before heterosexual marriage (fornication) are wrong.
"This belief is also shared by virtually all the other world faiths including Judaism, Hinduism, Sikhism and Islam.
"Politicians should not be silenced or hounded out of office just for holding these views, otherwise we diminish our democracy and risk marginalising millions of ordinary people.
"We are deeply concerned at the way those with beliefs out of kilter with dominant secular thought are being targeted and forced out from the public square."