The selection committee announced Tuesday it had elected the maximum four players this year. All were eligible for the first time.
Hull's 741 goals rank third all-time, Robitaille's 668 are the most by a left wing and Leetch is one of just five defensemen to have a 100-point season.
Hull scoring the Stanley Cup-winning goal for the Dallas Stars in 1999.
A player must be retired for three seasons before becoming eligible to enter the Hall. The induction ceremony will be Nov. 9.
His father, Bobby, is already in the Hall.
"It is hard to put into words what this means to me, especially since I'm joining my father in the Hockey
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Hull retired in 2005 after a 19-year career with the Calgary Flames, St. Louis Blues, Dallas Stars, Red Wings and Phoenix Coyotes. He scored 86 goals in 1991 and received the Hart Trophy as league MVP.
He's now the Stars' executive vice president and was traveling on business when he was told of the announcement.