Jha was the son of Sir Ganganath Jha, and the brother of Shri Amarnath Jha, a scholar of English and Sanskrit and former vice-chancellor of Allahabad University.
Jha adalah putra dari Sir Ganganath Jha, dan saudara dari Shri Amarnath Jha, seorang cendekiawan Inggris dan Sansekerta dan mantan wakil kanselir Universitas Allahabad.