He played in the National Hockey League for the Boston Bruins, Washington Capitals, Buffalo Sabres, Ottawa Senators, Phoenix Coyotes and the Montreal Canadiens.

He was well known for having a 4.0 grade point average and earning a degree in just three years in aeronautical engineering, despite the fact that he did not speak English when he first arrived in New York.

The sticking point was Juneau's insistence on being paid full salary even if he was sent to the minors - a demand Boston refused, having been burned in a nearly identical situation with Wes Walz the previous year.

Then-general manager Harry Sinden was famously quoted in response to Juneau's threat to play in Switzerland instead "Well, I hope he learns to yodel."

Juneau was also a member of the 1997–98 Capitals squad that reached the 1998 Stanley Cup Finals, scoring seventeen points in twenty-one playoff games.

The next season, 1998–99, with the Capitals plagued by injuries and missing the playoffs, Juneau was traded to the Sabres, who reached the 1999 Stanley Cup Finals.

[citation needed] Juneau spent the 1999–2000 season with the Ottawa Senators, who signed him largely to fill the offensive gap created when Alexei Yashin was suspended for failing to honor his contract.

Between 2005-2007, Juneau moved to Fairbanks, Alaska, where he helped promote hockey to the youth in the area before moving to Kuujjuaq, Quebec, on a permanent basis, where he heads a hockey program for Inuit youth in northern Quebec focused on encouraging academic progress, a contribution for which he received the 2007 La Presse/Radio-Canada Personality of the Year Award.