According to Official Guinness Records,
The National Hockey League (NHL) record for most consecutive games scoring the game-winning goal is 5 by Newsy Lalonde (Canada) playing for the Montreal Canadiens (Canada) in February 1921. Daniel Alfredsson (Sweden) became only the second NHL player to score four straight game-winners while playing for the Ottawa Senators from 9 January to 16 January 2007.
For a complete list of 1921 records, please visit 1921 Guinness Records in Canada.