Outspoken Anglican priest Rod Bower has courted controversy by labelling Immigration Minister Peter Dutton a "Sodomite" in a social media post that has attracted thousands of shares and divided the religious community.

Father Bower, the controversial rector at the Anglican parish of Gosford who is famed for his roadside billboards, posted a photo on Facebook late on Thursday of a billboard bearing the words "Dutton is a Sodomite".

Gosford Anglican Church priest Rod Bower with an earlier billboard in 2014. Credit:Marina Neil

The sign appears to be located on a roadside but Fr Bower said it was made "only for social media". It is accompanied by a lengthy post in which he explains a sodomite is "someone who has no compassion, no capacity to love the stranger, the persecuted, the outcast or the homeless".

The assistant archbishop of Melbourne took umbrage at the post, labelling it "a very personal slur on a government minister".