In 2015, he won the triple jump competition at
2015 European Games in
Baku. A month later, Babayev set a championship record, national junior record and world junior lead when he leaped 17.04m in the triple jump at
2015 European Athletics Junior Championships, winning the gold medal. Babayev competed in the men's triple jump in the
2016 Summer Olympics in
Rio and the
2020 Summer Olympics in
Tokyo. ==Competition record==