The group used the Labour Party conference to make the call and to condemn the actions of the so-called Islamic State, which is persecuting tens of thousands of Christians.
Delegates at the event in Manchester were asked to support a resolution that would urge the government to offer asylum to refugees.
"They've come out with a very sophisticated resolution unreservedly condemning the actions of Islamic State, calling on the government to substantially increase humanitarian aid and we're already one of the major donors at the moment.
"But also playing a part protecting the minorities and allocating asylum places in Britain for those most in need.
"There's a solidarity about this which is right and proper coming from a group of Christians in the Labour Party, it's what you would hope for."
Writing on the Christians on the Left website, political communications officer Stephen Beer said: "We need to make a clear statement of support for those people in Iraq and Syria who are suffering now. And we need to press for action to back up those words.
"After all, 'faith without deeds is useless' (James 2:20).
"That means more sustained humanitarian aid and the offer of asylum to those most in danger.
"There also needs to be more resources to enable the international community to document human rights abuses and bring people to justice.
"Finally, if we can prevent more massacres, and if we can be confident we will not make things worse, we should do so. If we can protect, we should. Or at least, let us have that debate – and quickly – so we know when we should intervene."
Elsewhere at the conference, the shadow hancellor promised to cut ministers' pay by 5% and to reduce child benefits in real terms if Labour wins next year's general election.
Ed Balls outlined his plans for the economy: to try to convince voters that Labour can be trusted.
He also pledged a cap on child benefit increases at 1% for two years.