Blyzniuk was born in Lutsk, Ukraine. He was less than 2 years old when his father, a truck driver, died in an accident. Their mother moved them to Federal Way, Washington five years later to be closer to family.[1] His older brother, Dmytro, and his mother, Liudmyla, helped raise Bohdan, while also caring for his grandmother.[2]
Blyzniuk became a U.S. citizen in February 2016.[1]
On March 9, 2018, Blyzniuk became the Big Sky Conference’s all-time leading scorer, passing Orlando Lightfoot’s mark of 2,102 set in 1994.[3] Earlier in the season, Bliznyuk claimed the school all-time scoring mark, passing Venky Jois’ total of 1,803.[4] Bliznyuk's conference career scoring mark stood until the following season, when Montana State's Tyler Hall broke it.[5]
On July 5, 2018, Blyzniuk started his professional career with Bnei Herzliya of the Israeli Premier League, signing a three-year deal.[9] On January 21, 2019, Bohdan recorded a season-high 18 points, shooting 7-of-13 from the field, in an 81–100 loss to Hapoel Eilat.[10] That season, Bnei Herzliya have finished the season in the last place out of 12 teams and was relegated to the Israeli National League (the second-tier league in Israel).
On September 30, 2019, Blyzniuk signed with Kyiv-Basket of the Ukrainian SuperLeague.[11] During the 2020–21 season, he averaged 12.4 points, 5.5 rebounds, and 3.2 assists per game. On September 16, 2021, Bohdan signed with BC Budivelnyk.[12]
In the 2022-23 season, he signs for BC Budivelnyk to play in the FIBA Europe Cup (playing at home in Italy) and the Balkan League.[13]
Blyzniuk is a member of the Ukraine national team. On November 29, 2018, he made his debut in an 82–54 win over Slovenia, scoring 11 points, seven rebounds and five assists.[16]