Conor Heun has five losses against five opponents on his MMA record. For a list of Heun's best fights, refer to "Best fights of Conor Heun".
On March 3, 2012 Conor Heun faced off against Ryan Couture in a lightweight bout at age 33. He was coming in with a record of 9-5 (6), and Couture was 29 years old and with a record of 3-1 (2). Heun lost the fight via 3rd-round TKO.
On June 16, 2010 Conor Heun faced off against K. J. Noons in a lightweight bout at age 31. He was coming in with a record of 8-4 (6), and Noons was 27 years old and with a record of 8-2 (7). Heun lost the fight via 3-round split decision.
On June 19, 2009 Conor Heun faced off against Jorge Gurgel in a lightweight bout at age 30. He was coming in with a record of 8-3 (6), and Gurgel was 32 years old and with a record of 12-5 (9). Heun lost the fight via 3-round unanimous decision.
On August 2, 2007 Conor Heun faced off against LC Davis in a lightweight bout at age 28. He was coming in with a record of 5-2 (4), and Davis was 26 years old and with a record of 8-0 (8). Heun lost the fight via 3-round split decision.
On November 3, 2006 Conor Heun faced off against Brett Cooper in a welterweight bout at age 27. He was coming in with a record of 1-1 (1), and Cooper was 19 years old and with a record of 2-3 (1). Heun lost the fight via 3-round split decision.
