Feely worked as a teacher in Newry. At the 1973 Northern Ireland Assembly election, he was elected for the Social Democratic and Labour Party (SDLP) in South Down. He held this seat at the Northern Ireland Constitutional Convention, and at the 1982 Assembly election. In common with other SDLP members, he did not take his seat on the Constitutional Convention, and instead acted as an alternate at the New Ireland Forum.
In November 2005, Feely and sixteen other nationalist councillors were jointly surcharged £10,000 and barred from public office for five years for refusing FAIR the use of Newtownhamilton Community Centre. This was overturned on appeal, but left five of the councillors including Feely to share a large legal bill.
From 2007 on, Feely has worked as a field canvasser for Citizen's Campaign for the Environment in the United States.
In 2015, during the Reform of local government in Northern Ireland, where Newry and Mourne District Council was made defunct and the new Newry, Mourne and Down District Council was established, Feeley, along with a number of other councillors decided not to run for election to the new "super council" and therefore became retired as of 1 April 2015.
- Rural Community Network board details
- South Down 1973-85
- New Ireland Forum Report, 2 May 1984, CAIN Web Service
- Local Government Elections 1985 - 1989: Newry and Mourne
- Newry & Mourne District Council Elections, 1993 - 2005
- Newry and Armagh
- Frank Feely, Social Democratic and Labour Party
- "SDLP dismiss cash crisis reports after FAIR case", Newry Democrat, 16 January 2008
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