Chief Judicial Magistrate Sandhya Srivastava, while granting bail, directed that the accused be released on furnishing two sureties of Rs 20,000 each and a personal bond of the same amount.
Prajapati, however, will have to remain in jail as he is an accused in another rape case.
His bail plea had been rejected by the high court and trial proceedings are going on after framing of charge in that case.
Wife of IPS officer Amitabh Thakur, Nutan had lodged an FIR against Prajapati and others on June 20, 2105 with Gomtinagar police.