Robert William Brian McConnell, Baron McConnell (25 November 1922 – 25 October 2000) was an Ulster Unionist MP in the Northern Ireland House of Commons.
The grandson of Sir Robert McConnell, 1st Baronet, he was schooled at Sedbergh School and at Queen's University, Belfast where he read law, subsequently being called to the Bar of Northern Ireland.
Starting off as a Junior Unionist, Brian McConnell attended the Conservative Conference in Brighton as an Ulster Unionist delegate in 1947, at which he made a warmly received address on one of the resolutions before the conference of over 3,500. He was first elected to Stormont at the Northern Ireland general election, 1953. In 1962 Lord Brookeborough appointed him Parliamentary Secretary to the Ministry of Finance (Government Chief Whip), and after holding a junior office at the relatively new Ministry of Health, he became Minister of Home Affairs in 1964 in the government of Terence O'Neill.
In 1966 however Ian Paisley led a protest to the General Assembly of the Presbyterian Church in Ireland for the installation of a new Moderator. At the protest the Governor of Northern Ireland, Lord Erskine was jostled on his way into the building, an incident which was attributed to the future ill health and ultimately the death of Lady Erskine. This was largely blamed on McConnell (who was in London at the time), and his period in elected office was effectively over.