List of New York Islanders award winners The New York Islanders are an American professional ice hockey team based in Uniondale , Long Island , New York . They are members of the Atlantic Division of the Eastern Conference in the National Hockey League ( NHL ) . The Islanders arrived in Uniondale in 1972 , and play their home games at the Nassau Veterans Memorial Coliseum . The franchise , and its members , have won numerous team and individual awards and honors . The team won the Clarence S . Campbell Bowl trophy for having the best regular - season record in the Campbell Conference in 1978 , 1979 and 1981 . Following league realignment in 1981 , they then captured the Prince of Wales Trophy as the Wales Conference playoff champion consecutively from 1982 to 1984 . The Islanders won the Stanley Cup four consecutive years from 1980 to 1983 . Denis Potvin , Bryan Trottier , and Mike Bossy have won at least four awards , with all three winning the Calder Memorial Trophy as rookie of the year in their first NHL seasons . They also won other various awards , such as the Art Ross , James Norris Memorial , and Lady Byng Memorial trophies . All three players earned selections to the First and Second All - Star Team s numerous times . Mike Bossy played in seven National Hockey League All - Star Game s , the most in Islanders history . Six players have had their numbers retired by the Islanders . Of them , five players have been elected to the Hockey Hall of Fame : Potvin , Trottier , Bossy , Billy Smith , and Clark Gillies . Other management personnel who have been inducted include Al Arbour , who coached the Islanders from 1972 to 1986 and 1988 to 1994 , and Bill Torrey , who held the general manager position from 1972 to 1992 . League awards . Team trophies . The New York Islanders have won the Prince of Wales Trophy and Clarence S . Campbell Bowl three times each and the Stanley Cup four consecutive times , from 1980 to 1983 . Individual awards . Bryan Trottier , Denis Potvin , and Mike Bossy have won four or five individual awards each . In 1978 – 79 , Trottier led the NHL with 47 goals and 134 points , earning him the Art Ross Trophy and a spot on the NHL First All - Star Team . Trottier also received the Hart Memorial Trophy for being the most valuable player during the 1978 – 79 regular season . In the 1975 – 76 , 1977 – 78 , and 1978 – 79 regular seasons , Potvin was awarded the James Norris Memorial Trophy as the best defense player in the league . Bossy is a three - time winner of the Lady Byng Memorial Trophy , an award given for gentlemanly conduct during the regular season . All three have won the Calder Memorial Trophy once , and have been on the NHL First All - Star Team at least twice . Trottier and Bossy have both won the Conn Smythe Trophy once , which is awarded to the most valuable player of the playoffs . All Star Games selections . The National Hockey League All - Star Game is a mid - season exhibition game held annually between many of the top players of each season . Since the Islanders arrived on Long Island , 33 All - Star Games have been held . At least one player has represented the Islanders in each year , except for the games in 1999 and 2001 . The All - Star game has not been held in several years : 1995 and 2005 as a result of labor stoppages , 2006 because of the Winter Olympics , and 1979 and 1987 due to the Challenge Cup and Rendez - vous ' 87 series between the NHL and the Soviet national team , respectively . Mike Bossy played a franchise - high seven All - Star Games as a member of the Islanders . Career achievements . Hockey Hall of Fame . Several members of the Islanders organization have been honored by the Hockey Hall of Fame . Denis Potvin and Mike Bossy were the first Islander players inducted , gaining election in 1991 . Potvin recorded 310 goals in 1060 games for the Islanders , and Bossy recorded 573 goals in 752 games . They were joined in 1993 by a fellow member of the 1980 – 83 Stanley Cup championship teams , Billy Smith . Smith spent 17 seasons with the Islanders , recording 305 wins and capturing the Vezina Trophy and the William M . Jennings Trophy once each . Bryan Trottier , elected in 1997 , became the fourth former Islanders player to enter the Hall of Fame . Trottier played 15 seasons on Long Island and recorded 500 goals in 1123 games . In 2002 , Clark Gillies became the fifth former Islander inducted into the Hall ; Gillies was a member of the Islanders from 1974 to 1986 . Two members of team management have been inducted in the " Builders " category . Former head coach Al Arbour gained election as a builder in 1996 , having coached the Islanders to four Stanley Cup victories . Arbour coached 20 seasons with the Islanders from 1973 to 1986 , and 1988 – 94 , and his 740 wins in 1500 games are a team record . Bill Torrey was the Islanders general manager from the organization ' s first year in 1972 to 1992 . During that period , the Islanders qualified for the playoffs 14 consecutive times between 1974 and 1988 , including an additional time in 1990 . Torrey was inducted in 1995 . Retired numbers . The New York Islanders have retired six numbers , which means that no player can use those jersey numbers again while part of the team . Of the six players whose numbers were retired , five have been inducted into the Hockey Hall of Fame . In addition to the numbers , two additional banners are raised at Nassau Veterans Memorial Coliseum . One of these is for Al Arbour , who was the Islanders head coach for 19 seasons . The number on Arbour ' s banner is 1500 , which represents the number of games Arbour has coached . Another banner is for Bill Torrey , who was the general manager of the Islanders from 1972 to 1992 . In place of a number , his banner features a bow tie ( his unofficial trademark ) and the works " The Architect " . Team awards . Bob Nystrom Award . The Bob Nystrom Award is an Islanders team award given each year to the player who " best exemplifies leadership , hustle and dedication " . It was first awarded in 1991 , and is named after Islanders ' Hall of Famer , Bob Nystrom .