Writing in the Daily Telegraph, Lord Carey (above) says persecuted Muslims in the Middle East are unfairly receiving more help because some politicians are "hopelessly politically correct".
Lord Carey notes that while Christians made up around 10 per cent of the Syrian population before the country's war began in 2011, they received less than two per cent of the asylum places Britain made available in 2016.
The former archbishop also highlights that since the Iraq War began in 2003, around 3 in 4 Iraqi Christians have been made homeless, with 45 per cent of Syrian Christians experiencing the same since 2011.
He also criticised the UK's funding and support of UN refugee camps in the Middle East. He said evidence has showed Christians, particularly those who have converted from Islam, often avoid them because of the persecution they receive there from Muslim staff and refugees.
"The stark truth is that there is an institutional bias against Christians by our government, matched by a wilful denial, that their plight amounts to genocide.. for to recognise genocide would legally require a response," he said.
"Ministers' efforts to correct the imbalance are being blocked by often well-meaning but hopeless politically correct officials who claim that to support Christians is to discriminate against others."
A government spokesman said: "UK aid is provided in line with humanitarian principles, so whoever needs our help the most gets it first, regardless of race, gender or religion."