The draw for the group stage fixtures took place on 4 December 2019.
[1] The 2020 Fitzgibbon Cup started with the group stage on 12 January 2020 and ended on 12 February 2020.
University College Cork were the defending champions.
[2] On 12 February 2020, University College Cork won the Fitzgibbon Cup after a 0–18 to 2–11 defeat of the Institute of Technology, Carlow in the final.
University of Limerick's Cian Darcy was the Fitzgibbon Cup top scorer with 2-45.