[2][3] At the 2013 AIBA World Boxing Championships in Almaty, he beat Ravzan Andreiana, Omurbek Malabekov, and Olympic Champion Robeisy Ramírez.

At the 2014 Asian Games in Incheon, he beat Othman Arbabi and Mohammad Al-Wadi before losing in the semifinals to Ham Sang-myeong of South Korea.

In quarterfinals Yeraliyev beat Omar El-Hag of Germany with a 5-0 score and in the semifinals he defeats Peter McGrail of England to advance to the finals.

In the finals, Yeraliyev fought Duke Ragan of the United States, winning 3-2 and bringing home the gold medal.

In 2021 he made his professional debut, winning a four round unanimous decision over Uzbekistan's Bakhit Abdurahimov at the Sapiyev Boxing Center in Karaganda.