The award is presented annually to the most outstanding player in the NHL, as voted by fellow members of the National Hockey League Players' Association.
The three centres are also the finalists for the Hart Trophy, awarded by the NHL to the player considered most valuable to his team.
Crosby scored 36 goals and led the league in assists (68) and points (104) to capture his second career Art Ross Trophy and lead the Penguins to their second consecutive division title.
He registered points in 60 of the 80 games he played in (75 per cent), including 30 multi-point performances, and never went more than two consecutive games without registering a point.
The 26-year-old Cole Harbour, N.S., native also reached the 100-point milestone for the fifth time hit 700 career points in his 497th game, the fastest among active players and sixth-fastest in NHL history.
Crosby won the award in 2007 and 2013 and was a finalist in 2010.
Getzlaf scored a career-high 31 goals and ranked second in the league with 87 points to lead the Ducks to the top record in the Western Conference for the first time in franchise history. He posted a 14-game point streak from Nov. 15-Dec. 15 (six goals, 11 assists).
Getzlaf, from Regina, also set a career high with seven game-winning goals and recorded a plus-28 defensive rating.
He's a first-time nominee and is looking to become the first Ducks player to receive the award.
Giroux matched a career high with 28 goals and finished third in the NHL scoring race with 86 points to help the Flyers bounce back from a 3-9-0 start to the season.
After being held pointless in his first five games and not scoring a goal until his 16th, Giroux totalled 28 goals and 51 assists in his final 67 games of the season.
The 26-year-old Hearst, Ont., native also compiled a career-long, nine-game point streak Dec. 11-30, (six goals, 11 assists) and recorded his 100th NHL goal Dec. 19.
He's looking to become the first Flyer to receive the Award since Eric Lindros in 1995.
Note to readers: This is a corrected story. An earlier version reported that the Lindsay award was presented to the most valuable player in the NHL.