The chargesheet names 14 accused, including the Congress leader's son Karti Chidambaram, Peter Mukherjea and Indrani Mukerjea.
The HC asked him to furnish a bail bond of Rs two lakh and a surety of like amount.
Chidambaram has not been named as an accused in the FIR and the CBI is yet to file a chargesheet in the matter.
FIR says that the officials by virtue of influence exercised over them by Karti, not only ignored the serious illegality on the part of INX Media on both the counts but also deliberately showed undue favours to INX Group.