Hough was drafted 181st overall by the Quebec Nordiques in the 1982 NHL Entry Draft. He played 707 career NHL games, scoring 100 goals and 156 assists for 256 points. He had his best season in 1991–92 with 16 goals and 22 assists for 38 points, despite being sidelined for a month with a broken thumb. He was also the Nordiques' captain during that season.
Quebec traded Hough to the Washington Capitals in exchange for Reggie Savage and Paul MacDermid on June 20, 1993. Four days later, Washington left Hough unprotected for the 1993 NHL Expansion Draft, and he was claimed by the Florida Panthers where he played four seasons. He would be infamously remembered as scoring the goal in double overtime in the fifth game of the Panthers' semifinals series against the Flyers in 1996. This would turn out to be the last goal in the Spectrum. He ended his NHL career with the New York Islanders in 1999 after signing with them as a free agent on July 21, 1997.
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