Vishwa Mohan lives in Jaipur, Rajasthan, India, with his wife and two sons. His elder son Salil Bhatt is a renowned Mohan veena player (and also a player of the Satvik veena). Vishwa Mohan Bhatt's parents late Manmohan Bhatt and late Chandrakala Bhatt were also teaching and performing musicians who imparted knowledge of music to V.M Bhatt. His nephew, Krishna Bhatt, plays the sitar and tabla.
Folk musician Harry Manx, who studied with Salil Bhatt and Vishwa Mohan Bhatt for five years, plays a Mohan Veena. Counting Crows' Bassist Matt Malley also plays a Mohan Veena and is a student and friend of Vishwa Mohan Bhatt. Australian Musician Lawrie Minson also learnt Mohan Veena from Salil and Vishwa Mohan Bhatt.