More than a thousand Muslims were asked over the telephone if they had "sympathy with young Muslims who leave to UK to join fighters in Syria". They were allowed to choose from four options: "a lot", "some", "none" or "don't know".
71 percent had no sympathy for Muslims who went to fight in Syria, 14 percent had some sympathy, 10 percent didn't know and 5 percent had a lot of sympathy.
Critics of the poll have said the term "sympathy" could mean different things, and may not refer to support for an extremist fighter but compassion towards someone who has made a bad decision.
They also note that the poll does not mention extremists or jihadis, and young Muslims going to fight in Syria could be joining moderate opposition groups or President Assad's forces rather than Islamic State.
It also did not give respondents an option in between "some" or "none", which they argue skews the study.
Matt Legg-Bagg, a Christian businessman from Bristol who complained to the Independent Press Standards Organisation, told Premier: "You've got people that are going to look at that [poll] and say 'okay, well Muslims support terrorism', essentially is what The Sun is trying to get across.
"We know that that's not true. Probably we all know somebody from the Muslim faith that is nowhere near that way of thinking.
"What does sympathy mean? What are you calling sympathy? If somebody said to me: 'Do you have sympathy for British soldiers that've fought out in Iraq?' I would say yes, and my reasoning for saying that would be it's not that I agree with the war - I'm completely a pacifist - but I don't think our troops should've been in there [in the first place]."
Speaking about The Sun newspaper, Mr Legg-Bagg said: "They're bullies and they're antagonists to get people to try and think a certain way. They're farming out propaganda ultimately which is only benefitting Isis."
The Sun said about its own poll: "It is shocking and depressing that even after the Paris slaughter one in five British Muslims we surveyed still has sympathy with young people who fly to Syria to become jihadist killers.
"It is depressing too that many others would rather not face up to that, preferring to rubbish The Sun's poll rather than deal with what we uncovered.
"We would all love to see Muslims back peace and condemn IS with one voice.
"That is simply not the reality and it does our nation no good pretending it is."
Listen to Premier's Aaron James speaking to Matt Legg-Bagg here.
