Amonkar, who enthralled audiences with her soulful singing for decades, died on Monday night at her house in Mumbai.
The singer followed the classical Hindustani school of singing, but was known for creating her own distinctive style.
Many, including legendary Bollywood singer Lata Mangeshkar, have paid tributes to Amonkar, and acknowledged her "great contribution" to music.
As news of her death broke, many people took to social media to pay tribute. The hashtag #kishoriamonkar has begun trending on Twitter India.
Renowned Indian singer Kishori Amonkar has died at the age of 86.