Vacation Judge Justice T Mathivanan adjourned the petition to May 30.
Kumar has been charged, along with others, with making some subordinates receive about Rs 2.85 crore on his behalf from Paazee Forex Pvt Ltd, which had defaulted in repayments to depositors, to allegedly protect three directors of the firm.
A woman had also alleged that she was kidnapped and sexually abused by some policemen involved in the case.
The CBI had registered a case against Kumar and charged him and other policemen with extortion and criminal intimidation under Sections 4 of the Tamil Nadu Prohibition of Harassment of Women (Amendment) Act.
Kumar has also been booked under sections 7 and 13 (2) read with 13(1)(d) of the Prevention of Corruption Act.
In his bail application, Pramod Kumar submitted that he has been in jail for about a fortnight. CBI had questioned him for five days and police custody was over.
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The IPS officer said he would abide by any condition that the court may impose on him if released on bail.
Kumar, then IGP (West Zone) Coimbatore when the case was registered, was arrested in New Delhi on May 2 on the charge of entering into a conspiracy to get a bribe of Rs 10 crore from Paazee Forex Trading company to protect its directors facing charges of duping depositors of Rs 826 crore in 2009.
CBI has charged Kumar with abusing his official position and making his subordinates and accomplices extort money from Paazee Group of companies to safeguard its directors. He was on the run for a long time and the Madras High Court had turned down his anticipatory bail plea last month.