St. Louis already has won the award twice (2010, '11), and was a finalist two other times. The 37-year-old ranked second among NHL forwards in total ice time, but was assessed just 14 penalty minutes.
Moulson is a finalist for the second straight season. He had four penalty minutes in 47 games, tied with San Jose's Logan Couture for the fewest among the NHL's top 50 scorers.
Kane is a Lady Byng finalist for the first time, after helping Chicago to a Presidents' Trophy. He played 47 games and averaged 20:03 of ice time, but had just eight penalty minutes.
"Any time you're up for an award, it's exciting," Kane said Thursday. "I thought maybe I had a chance at this one. I think it kind of speaks volumes of where my game has gone since my rookie season. I remember I used to take a lot of penalties that were kind of unnecessary and I kind of got that out of my game a little bit. I'm definitely happy about it. It's an honor, for sure."
ESPNChicago.com's Scott Powers contributed to this report.