Prior to the 2007 Draft, Smith was a member of the Ontario Provincial Junior A Hockey League's St. Michael's Buzzers. In 2007, he finished his second season with St. Michael's leading all defencemen in points with 36. Smith was selected to participate in the CJAHL All-Star Game in 2006. Smith played for Canada East at the World Junior A Challenge 2006, helping his team win silver. Smith played three seasons for the University of Wisconsin–Madison before he signed a three-year entry-level contract with the Detroit Red Wings, on May 27, 2010. Smith made his NHL debut on November 17, 2011, against the San Jose Sharks. Smith was called up on February 27, 2012, to replace Mike Commodore, who had been traded to the Tampa Bay Lightning on the same day. He scored his first NHL goal against Josh Harding of the Minnesota Wild at the Joe Louis Arena on March 2, 2012. Smith appeared in 34 games for Detroit during the lock-out shortened 2012–13 NHL season. He would score his first career Stanley Cup playoff goal on May 6, 2013, during game four of Detroit's Western Conference Quarter-Finals Series against the Anaheim Ducks. On July 16, 2013, the Detroit Red Wings re-signed Smith to a two-year, $2.525 million contract. On June 30, 2015, the Red Wings re-signed Smith to a two-year, $5.5 million contract. During the final year of his contract and approaching free agency in the 2016–17 season, Smith was traded to the New York Rangers in exchange for a third-round pick in the 2017 NHL Entry Draft and a second-round pick in the 2018 NHL Entry Draft on February 28, 2017. Smith provided a stability to the Rangers blueline to finish the season with 4 points in 18 games. On June 29, 2017, Smith agreed to forfeit his impending free agent status in signing to a four-year, $17.4 million contract to remain with the Rangers. On Smith reportedly showed up to 2017 training camp out of shape, and the Rangers as a team struggled. On February 8, 2018, the Rangers placed Smith on waivers due to his struggling play, and then assigned him to their AHL affiliate, the Hartford Wolf Pack after he went unclaimed. Shortly after arriving in Hartford, Smith broke his hand in a fight with teammate Vinni Lettieri during a practice, ending his season. Smith spent most of the summer of 2018 working out, and showed up to 2018 training camp in top shape, hoping to improve his play and to help out the Rangers, who announced a team rebuild shortly after Smith was waived the previous season. Under new head coach David Quinn, Smith saw an improved play and fewer penalties with reduced ice time. In an effort to keep Smith in the lineup despite a crowded blue-line, Quinn dressed him as a forward several times throughout the season.
Personal life
Smith grew up in the Mimico neighbourhood of Etobicoke, Ontario with his parents Deidre and Lester and his two brothers, Rory and Reilly. The three all played minor hockey in Mimico with the Faustina Sports Club, then all played for the St. Michael's Buzzers minor juniors. He faced his brother Reilly in the first round of the 2014 Stanley Cup playoffs when his Red Wings faced Reilly's Boston Bruins. Smith’s wife Samantha gave birth to their first child, a son, in June 2018.