Justice Raja Vijayaraghavan directed the Rajya Sabha MP to execute a bond of Rs 1 lakh along with two sureties of the like amount.
He also directed him to appear before the investigating officer on all Saturdays.
Gopi had filed the anticipatory bail plea on December 12.
Last week, the court had directed the police not to arrest Gopi for a further period of 10 days in the case.
Earlier, following the court direction, Gopi had appeared before police in connection with the probe.
The police had registered an FIR against the actor on December 5, charging him with falsifying and fabricating documents by showing an address in the Union territory and getting the vehicles registered there, causing revenue loss to the Kerala government.
The FIR is pending before the chief judicial magistrate court, Thiruvananthapuram.
In his plea, Gopi said the allegations prima facie were false.
The actor said he had chosen to register the two vehicles in Puducherry where he owns agricultural land which was being looked after by family members, including his brothers.
Police have alleged that the actor-turned-politician used a fake residential address to register his luxury vehicles in Puducherry to evade the 20 per cent tax in Kerala on luxury cars costing Rs 20 lakh and above.
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