The complaint was filed by Manoj Kumar, additional PS of Gadkari, said a senior police officer.
The incident happened last night and the matter was reported to the police this morning, he said.
A case has been registered under section 379 (punishment for theft) of IPC at the Tilak Marg police station and investigation in the matter has been taken up.
It has been learnt that the burglars disconnected the GPS attached to the car near EDM mall in Ghaziabad, said the officer.
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Gadkari's PS stays close to the houses of some senior Delhi Police officers.
This incident is the latest in a spate of robberies in Lutyens' Delhi.
Last year in November, several items, including "copper Gandhi glasses" gifted to Congress leader Shashi Tharoor by Prime Minister Narendra Modi, were stolen from Tharoor's house.
On December 11, thieves broke into the house of Vice Admiral Michael Moraes and decamped with jewellery and cash.