Nazym Kyzaibay was born in 1993, 14 of September, in Zhetigen village of Almaty region.

She won a bronze medal at the 2012 AIBA Women's World Boxing Championships.

In Qinhuangdao, Nazym losing to Xu Shiqi of China in the semifinal match.

At the 2014 AIBA Women's World Boxing Championships in Jeju, she beat Moreen Ajambo in the first round, Bak Cho-rong in the second round, Steluţa Duţă in quarterfinals and Madoka Wada in semifinals.

At the 2016 AIBA Women's World Boxing Championships in Astana, Nazym won the gold medal, beating Angelika Grońska, Lise Sandebjer, Sarjubala Shamjetsabam, U Yong-gum and Wang Yuyan of China.