He spent three seasons with the Winterhawks before beginning his professional career with the Lake Erie Monsters of the American Hockey League.

[13] Bjorkstrand then helped the Winterhawks win their fourth straight WHL Western Conference Championship[14] by recording 15 goals and 13 assists for 28 points through 14 games.

During the 2014–15 season, Bjorkstrand led all WHL players in goals and points to earn the Bob Clarke Trophy as the league's leading scorer.

He was subsequently unanimously selected to the WHL's Western Conference First All-Star Team, while his teammates voted him the Winterhawks' Most Valuable Player.

[20] He finished the regular season with the Blue Jackets, recording four goals and eight points in 12 games[1] before returning to the AHL for the franchise's first Calder Cup playoff appearance since 2011.

[21] Upon returning to the AHL, Bjorkstrand helped the Monsters sweep the Rockford IceHogs in the first round by scoring 19 seconds into the third period of Game 4.

[22] In Game 1 of the following series against the Grand Rapids Griffins, Bjorkstrand recorded the overtime game-winning goal to lead the Monsters to a win.

This effectively won the Calder Cup for the Monsters, and Bjorkstrand also earned the Jack A. Butterfield Trophy as the playoffs' most valuable player.

[24] Following the Calder Cup win, Bjorkstrand entered training and development camp with high expectations of making the Blue Jackets' 2016–17 opening night roster.

During camp, Blue Jackets general manager Jarmo Kekalainen spoke highly of him, saying: "He's not a big guy, but he's not afraid to play the North American style at all ... it speaks to his character.

[31] Bjorkstrand entered the final year of his entry-level contract playing the full 2017–18 season with the Blue Jackets at the NHL level.

[37] After sitting out for four games, head coach John Tortorella returned him to the lineup on 29 November 2018, to replace a "banged up" Anthony Duclair.

[41] Upon returning to the lineup, Bjorkstrand continued his offensive streak and led the team with 21 goals and tied for third with 36 points before being injured on 20 February during a game against the Philadelphia Flyers.

[42] Bjorkstrand and the Blue Jackets met with the Toronto Maple Leafs in the Eastern Conference Qualifying Round of the playoffs and beat them in five games.

[48] He scored his first goal of the season on 18 January 2021 against the Detroit Red Wings and added an assist and a fight for a Gordie Howe hat trick.

In spite of his career season, Columbus' general manager Jarmo Kekäläinen explained that the trade was necessary in order to sign Johnny Gaudreau and Patrik Laine.

[58] During the Kraken's preseason, Bjorkstrand earned some time on the teams' first powerplay unit and played alongside Matty Beniers and Ryan Donato.

[59] However, as he struggled to score goals once the 2022–23 season began, Bjorkstrand was moved to the third line with Brandon Tanev and Yanni Gourde on November 13.

[61] Later that month, Bjorkstrand and Daniel Sprong combined for the fastest two goals in Kraken history en route to a 6–5 shootout loss to the Vancouver Canucks.

[63] The Kraken qualified for the 2023 Stanley Cup playoffs, the first postseason appearance in franchise history, drawing the Colorado Avalanche, defending champions and the reigning Central Division winners, in the first round.

[1] He represented Denmark for the first time internationally at the 2012 World Junior Ice Hockey Championships with his father serving as his head coach.

[70] In the same year, Bjorkstrand also made his first senior appearance with the Denmark men's national ice hockey team at the 2015 IIHF World Championship at the age of 20[71] alongside his brother Patrick.