Justice Abhay Thipsay granted cash bail of Rs one lakh to Tapuriah on medical grounds.
Tapuriah and Khan were arrested by the Enforcement Directorate (ED) for laundering of more than Rs 400 crores.
Tapuriah sought bail on medical grounds which was allowed.
The High Court, however, prohibited Tapuriah from leaving Mumbai without permission.
Earlier in 2011, Tapuriah had approached the High Court, seeking bail on merits and claimed that he was implicated in the case.
The HC had then rejected the plea after observing that there was prima facie evidence against him.