The renowned broadcaster died on Thursday surrounded by family. He had been ill since March.
Mr Davin-Power helped launch the Morning Ireland radio programme 40 years ago and was appointed as RTÉ’s Northern Editor based in Belfast in the early 1990s. He led RTÉ’s news coverage of the peace negotiations during the Troubles.
He worked for the broadcaster until his retirement in 2017 and was a contributor for the Sunday Independent.
Mr Davin-Power will repose at his home on Monday, November 4. His funeral mass will take place at 11.30am on Tuesday, November 5 in St Vincent de Paul Church, Marino, Dublin 9, followed by a private cremation.
He is survived by his wife Dearbhla and children Nick, Caroline, Julia, Ben and Emily.
Leading the tributes, President Michael D Higgins said: “It is with great sadness that people all across the country will have learned of the death of David Davin-Power.
“A consummate broadcaster and communicator, David Davin-Power was a regular presence in the lives of so many people either over the airwaves or on television.”
While Taoiseach Simon Harris described Mr Davin-Power as a “consummate professional, thorough journalist, and a gentleman”.
“He was a storyteller who was generous with his time, he was an interesting person who was interested in other people, and he was kind to those around him,” Mr Harris said.
Retired RTÉ broadcaster Byran Dobson told RTÉ’s Drivetime that Mr Davin-Power had a great skill for “distilling down to the essence of a news story, of honing in on what really mattered”.
“He was a really consummate broadcaster, wonderful broadcast journalist. I think, somebody who brought the art to its highest possible level really,” Mr Dobson said.
Director-general of RTÉ Kevin Bakhurst said in a statement said that the journalist was “one of the most incisive political brains at RTÉ and indeed in Ireland”.
“For many years, he was familiar to audiences, colleagues and politicians as insightful, eloquent and scrupulously fair. Off-screen, he was also funny, a great storyteller and was hugely loyal to colleagues, friends and to RTÉ itself.
“More than all of that, he loved his family and spoke of them with huge pride and joy.”