Joseph Hannigan (1904 – 1944) was an Irish politician and medical practitioner. Hannigan was first elected to Dáil Éireann as an independent Teachta Dála (TD) for the Dublin South constituency at the 1937 general election. He was re-elected at the 1938 general election, but lost his seat at the 1943 general election. He was subsequently elected to the 4th Seanad in 1943 on the Administrative Panel. He did not contest the 1944 Seanad election.