Kunti Moktan was born in Margaret's Hope tea estate, Darjeeling district, India. She moved to Kathmandu, Nepal in 1983 to pursue her musical career. She is married to Sila Bahadur Moktan, a Nepali musician and lyricist and has two daughters Shital Moktan and Shubani Moktan who are also musicians.
Kunti started singing from an early age. She started her musical journey from St. Xavier's High School in Dilaram, India. When in Class 8, she passed the vocal test at All India Radio station in Kurseong and recorded her first song with All India Radio at the age of 15 and second song for Radio Nepal at the age of 18 in 1980. Both Kunti and her husband Shila Bahadur initially learnt music from Jagdish Chandra Rai in Sonada. Kunti has performed in about 20 countries, including the India, United States, Japan, UK, Hong Kong, Germany, Switzerland and South Korea. Apart from singing, she plays the harmonium. Some of her most popular songs are Khutta Tandai Gara, Choli Ramro Palpali Dhakako, Sunkai Bhau Chha, Bhanchan Kohi Jindagi Yo, Mathi Mathi Sailungey Ma and Dali Dali Ma.