He was named to the 2014–15 Hockey East Association Pro Ambitions All-Rookie Team,[5] tallying 14 goals and 14 assists his freshman year.

[6] On April 13, 2016, Tuch signed a three-year, entry-level contract with the Minnesota Wild to begin his professional career.

In the second half of the season, he received his first recall to Minnesota and made his NHL debut on February 4, 2017, against the Vancouver Canucks.

[11] He was recalled from the Wolves on October 15,[12] and he scored his first NHL goal against Tuukka Rask of the Boston Bruins that night.

[21] He soon became a fan favorite in Buffalo, with many citing him as a natural choice to the take up the team captaincy previously stripped from Eichel.

[25] He would score his second hat-trick of the season on April 1, 2023, capping it off with a shorthanded goal in another 6–3 win versus the Philadelphia Flyers.

[26] Tuch's 2022–23 campaign marked career highs in goals, assists, and points, finding offensive success in his second season playing alongside Tage Thompson and Jeff Skinner.