Bjorn Meijer received his training at FC Groningen. He made his professional debut for this Eredivisie club on 16 May 2021, during a substitution at PEC Zwolle. On 12 SeptembeR 2021, he was for the first time included in the starting lineup and played a total of 26 matches for the Eredivisie club. Thanks to his impressive performances, he also made his debut for the Dutch national under-19 team later that year.
In April 2022, the left-back signed a contract with Blauw-Zwart until 2026. He's the most involved defender in Club Brugge's goals since 2017. He showed his exceptional goal-scoring ability against Benfica and Standard, among others.