Tomás Ó Conchúir (1755 – 18 February 1803) was a bishop of Achonry in County Sligo, Ireland.
A son of Dermot Ó Conchúir of Woodquay, Tuam, and Mable O'Flynn of Torlagh, County Roscommon, he was a great-grandson of Captain Dermot Ó Conchúir, who served in Colonel Dominick Browne's regiment of Infantry (killed at the Second Siege of Limerick, 1691).
Ó Conchúir was educated on the continent and consecrated Bishop Achonry on 4 January 1788.
On the death of his brother, he became heir to the family property and resided at the family home in Sylane, four miles from Tuam.
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