Initially drafted in the third round, 95th overall, by the New York Rangers in the 2000 NHL Entry Draft, Moore also played in the NHL for the Pittsburgh Penguins, Minnesota Wild, Toronto Maple Leafs, Buffalo Sabres, Florida Panthers, Montreal Canadiens, Tampa Bay Lightning, San Jose Sharks and Boston Bruins.

[5] Moore rejoined the Rangers at the start of the 2005–06 season, where he was placed on a defensive-minded line with Jed Ortmeyer and Ryan Hollweg.

He was assigned to centre Toronto's top scoring line alongside left winger Jason Blake.

[citation needed] Becoming a free agent following the season, Moore signed with the Tampa Bay Lightning on a two-year, $2.2 million contract.

[12] For the second-straight year, Moore reached the Eastern Conference Finals, though his team again was defeated, this time to the eventual Stanley Cup champions, the Boston Bruins.

[citation needed] On February 10, 2012, during the 2011–12 season, Moore was fined $2,500 for an interference infraction that injured the New York Rangers' Ruslan Fedotenko.

[13] Moore played just the first three games of the Sharks in the 2012 playoffs after learning his wife, Katie, had been diagnosed with liver cancer.

[15] Moore would be a crucial piece of the Rangers' deep 2014 playoff run, and his perseverance in returning after a tragic loss earned him the Bill Masterton Memorial Trophy.

[citation needed] After a successful three-year tenure with the Rangers, Moore as a free agent opted to join his 10th NHL club, in agreeing to a one-year contract with the Boston Bruins on August 30, 2016.

[citation needed] On July 1, 2017, Moore, as a free agent, signed a one-year, $1 million contract to return for a second stint with the Maple Leafs.

[20][21] As a free agent from the NHL, Moore opted to continue his career abroad, joining Swiss club the ZSC Lions of the National League for the remainder of the season on a one-year contract on January 7, 2019.

A year after his wife's death, Dominic started dating Tennessee native Mary Hirst, a fellow Harvard graduate he met through mutual friends.