Phelim Alfred Calleary (3 October 1895 – 4 January 1974) was an Irish Fianna Fáil politician who served as a Teachta Dála (TD) for Mayo North constituency from 1952 to 1969. He was first elected as a Fianna Fáil TD for the Mayo North constituency at the June 1952 by-election, caused by the death of P. J. Ruttledge. He was re-elected at each subsequent general election until retiring at the 1969 general election.