Bliznyuk was part of the gold medal winning Russian Group at the 2012 European Championships and at the World Cup Final in Minsk, Belarus.

Bliznyuk and the rest Russian Group won all the gold medals at the 2013 Summer Universiade in All-around, 10 clubs and 2 ribbons/3 balls.

On August 19–21, Bliznyuk was member of the golden winning Russian group (together with Anastasia Maksimova, Maria Tolkacheva, Vera Biryukova, Anastasiia Tatareva) that won gold at the 2016 Summer Olympics held in Rio de Janeiro, Brazil.

[7][8] Bliznyuk achieved a rare feat by becoming only the third group rhythmic gymnast to win two gold medals in the Olympic Games after the late Natalia Lavrova and Yelena Posevina.

[citation needed] In 2017, Bliznyuk continued her competitive career and stayed with the Russian national group where she became the team captain.

They competed at the 2017 Grand Prix Moscow where they won gold in group all-around, 3 balls + 2 ropes and silver medal in 5 hoops.

They participated at the 2017 Pesaro World Cup finished 4th in all-around and qualified in 1 apparatus final, winning silver with 3 balls and 2 ropes.

[citation needed] In 2018, Bliznyuk began her season at the 2018 Grand Prix Moscow: they won gold in group all-around, 3 balls + 2 ropes and silver medal in 5 hoops.

[citation needed] From October 29 to 31, she competed in the 2021 Rhythmic Gymnastics World Championships, in Kitakyushu, Japan, (her third world championship) together with the team formed by Alisa Tishchenko, Maria Tolkacheva, Polina Orlova and Angelina Shkatova and won gold in the team competition for the fifth time in a row, ahead of Italy and Belarus.