Tinordi committed to
University of Notre Dame Fighting Irish of the
Central Collegiate Hockey Association (CCHA) for the 2010–11 season. On August 10, 2010, it was announced that Tinordi would play for the
London Knights of the
OHL for the 2010–11 season, forgoing his
NCAA eligibility. On March 16, 2013, as a member of the
Montreal Canadiens, he played his first NHL game against the
New Jersey Devils, scoring his first NHL career point on an assist in the third period. The Canadiens would go on to win the game 2-1. . In the
2015–16 season, Tinordi, no longer waiver-exempt, made the Canadiens roster out of camp as a defenseman. With the Canadiens producing the league's best start to the season, Tinordi did not play in a game in the opening months. On November 26, 2015, he was assigned to new AHL affiliate the
St. John's IceCaps on a conditioning stint, appearing in 6 games. In his return to the Canadiens, Tinordi played in only three games in two months. On January 15, 2016, he was traded to the Arizona Coyotes in exchange for
Victor Bartley and
John Scott. On March 9, 2016, the NHL announced that they had
suspended Tinordi for 20 games without pay for violating the terms of the NHL/
NHLPA Performance Enhancing Substances Program. In a statement released by the NHLPA, Tinordi stated: "I did not knowingly take a banned substance. I understand, however, that I am responsible for what enters my body as a professional athlete and I accept the suspension. I will work hard towards my return to the ice and will learn from this frustrating setback." The Arizona Coyotes subsequently announced their full support of both the Performance Enhancing Substances Program and Tinordi. In the following
2016–17 season, upon serving his suspension, Tinordi was placed on waivers by the Arizona Coyotes and sent to the team's AHL affiliate
Tucson Roadrunners. He scored the first Roadrunners goal in their home debut on October 28. He played out the season, appearing in 64 games and registering 11 points. On July 1, 2017, Tinordi signed a one-year, two-way contract with the reigning
Stanley Cup champions
Pittsburgh Penguins. Tinordi was assigned by Pittsburgh to the
Wilkes-Barre/Scranton Penguins for the duration of the
2017–18 season. As a key presence on the blueline, Tinordi established new professional highs with 5 goals and 21 points in 62 games. Tinordi left the Penguins in the off-season as a free agent to sign a one-year, two-way contract with the
Nashville Predators on July 1, 2018. Prior to the start of the
2018-19 season, Tinordi was named captain of the Predators' American League affiliate, the
Milwaukee Admirals. He spent the season with the Admirals, recording eight goals and 22 points in 75 games. On May 29, 2019, the Predators re-signed Tinordi to a two-year, two-way contract extension. During the
2019–20 season with the Predators, on January 29, 2020, Tinordi recorded his first career NHL goal against the
Washington Capitals. During the
2020–21 season, after appearing in seven games with the Predators, Tinordi was claimed off waivers by the
Boston Bruins on February 27, 2021. He played out the remainder of his contract with the Bruins, registering one assist through 14 regular season games. On March 16, 2021, Tinordi was involved in a collision with Penguins forward
Brandon Tanev. Tanev was given a 5 minute
major penalty and a game misconduct for
Boarding. Tinordi did not return to the game. In the postseason, he made four appearances with the Bruins. As a free agent from the Bruins, Tinordi joined his sixth NHL organization in agreeing to a two-year, $1.8 million contract with the
New York Rangers on July 28, 2021. Entering the final year of his contract, Tinordi was placed on waivers prior to the commencement of the season. On October 11, 2022, he was claimed by the
Chicago Blackhawks, marking his seventh NHL organization. Securing a regular third-pairing role on the blueline, on November 12, 2022, Tinordi recorded his first multi-goal game, matching his career goal totals to date, in scoring the game-winner against the
Anaheim Ducks in a 3-2 victory. Concluding a two-year tenure with the Blackhawks, Tinordi left as a free agent and was later signed to a one-year, two-way contract with the Calgary Flames for the season on September 10, 2024. ==International play==