Today's arrests result from a review and subsequent investigation over the past six months into the scandal-hit Diocese of Chichester, Sussex Police said.
"This is a very complex enquiry, in the course of which many people, all now adults, have had to be traced, together with other witnesses and records from a wide variety of sources", the force said in a statement.
Police said there were no allegations of recent or current offending, and no suggestion that any young people are at risk.
They also said the claims are being treated separately and do not involve allegations the two men acted together.
More top news
Daily Dose, a short summary of the day's election campaign stories.
It has been confirmed that the 2015 world tour of top Gear Live will go ahead, renamed Clarkson, Hammond and May Live.
A new ITV news/ComRes poll in Scotland suggests there is serious trouble ahead for Labour.