There have been 20 Stanley Cup finals sweeps. I could post the same list as above or you can check out theThe list from TSN
http://www.tsn.ca/nhl/feature/?id=5844below is also available in (this answer, at Wayback Machine linkTSN), or any respected source that tracks NHL statistics.
Year Winning Team Losing Team
1998 Detroit Red Wings Washington Capitals
1997 Detroit Red Wings Philadelphia Flyers
1996 Colorado Avalanche Florida Panthers
1995 New Jersey Devils Detroit Red Wings
1992 Pittsburgh Penguins Chicago Blackhawks
1988 Edmonton Oilers Boston Bruins
1983 New York Islanders Edmonton Oilers
1982 New York Islanders Vancouver Canucks
1977 Montreal Canadiens Boston Bruins
1976 Montreal Canadiens Philadelphia Flyers
1970 Boston Bruins St. Louis Blues
1969 Montreal Canadiens St. Louis Blues
1968 Montreal Canadiens St. Louis Blues
1960 Montreal Canadiens Toronto Maple Leafs
1952 Detroit Red Wings Montreal Canadiens
1949 Toronto Maple Leafs Detroit Red Wings
1948 Toronto Maple Leafs Detroit Red Wings
1944 Montreal Canadiens Chicago Black Hawks
1943 Detroit Red Wings Boston Bruins
1941 Boston Bruins Detroit Red Wings
