New York Islanders traded Žigmund Pálffy, Bryan Smolinski, Marcel Cousineau and 4th round selection (previously acquired from the New Jersey Devils - Daniel Johansson) in 1999 to the Los Angeles Kings for Olli Jokinen, Josh Green, Mathieu Biron and 1st round selection (Taylor Pyatt) in 1999.

He then spent two years in the AHL, playing for the Worcester Sharks and Hamilton Bulldogs.

[4][5] From 2010 to 2012 he turned out to conclude his playing career for Thetford Mines Isothermic in the LNAH.

His older brother Martin Biron is a former goaltender who played 16 seasons in the NHL.

After his hockey career, Biron trained and studied to become a firefighter in Lévis, Quebec.