In 2013, Mazur was eighth at the Moscow Grand Prix behind Azeri gymnast Marina Durunda. At the Holon Grand Prix senior international division, she won the bronze medal in all-around. She competed at the 2013 European Championships and together with Ganna Rizatdinova and Alina Maksymenko won Ukraine the Team silver medal. She also qualified for the hoop final and finished seventh. Mazur returned to competing with the Ukrainian Group at the 2013 Summer Universiade, winning the silver in Group all-around and bronze medals in 10 clubs and 2 ribbon / 3 balls. Mazur, together with Maksymenko and Rizatdinova, appeared in an editorial on the 2013 August edition of Ukraine Vogue. She was a member of the Ukrainian group that won bronze in 10 Clubs at the 2013 World Championships in Kiev, Ukraine. At the World Club Championship, the 2013 Aeon Cup in Tokyo, Mazur competed with Rizatdinova and junior Eleonora Romanova and won the team silver representing the Deriugins School.