He was drafted 282nd overall by the Chicago Blackhawks in the 2002 NHL Entry Draft. On May 16, 2006, the Blackhawks signed Burish to a two-year contract. After spending a seasons with the Blackhawks' AHL-affiliate team, the Norfolk Admirals, he was called up on October 1, 2007. Burish scored his first NHL goal in a 3-2 loss against the San Jose Sharks on January 22, 2008. On June 9, 2010, Burish won the Stanley Cup with the Blackhawks.