Every year, OUHaC competes in the English Handball League, EHA Cup and the British University Championships.

[4][5] The men's team won the British University Championship title 9 times (in 2004–07, 2009, 2013, 2014, 2023 and 2024)[6][7] as well as the English National League in 2006, being the first ever university team in the history of English handball to win the National League title.

[8][9][10] Additionally, they were the first university team to compete in the EHF Challenge Cup (2006–07 and 2007–08).

The team's greatest achievements include winning the EHA National League 1st Division in 2015 and 2016 as well as the British University Championships in 2016.

[12] The men's team of the Oxford University Handball Club has participated twice in European competitions, the EHF Challenge Cup both in 2006 and 2007.