Phelim is a masculine Irish given name. Notable people with the name include:
Phelim (Felix) O'Neill (died 1709), head of the Clanaboy O'Neill dynasty, and Chief of this Catholic Lineage
Phelim Boyle (born 1941), professor of finance in the School of Business and Economics at Wilfrid Laurier University in Canada
Phelim Calleary (1895–1974), Irish Fianna Fáil politician
Phelim Caoch O'Neill (also Phelim Caoch Ó Neill, or Feidhlimidh Caoch Ó Néill), Prince of the Cenél nEógain from 1517 to 1542
Phelim Drew (born 1969), Irish actor
Phelim McDermott (born 1963), English actor and stage director
Phelim O'Neill, 2nd Baron Rathcavan (1909–1994), politician in Northern Ireland and a hereditary peer in the British House of Lords
Saint Felim, sometimes given as "Saint Phelim", Irish hermit saint