The nameplate of the bungalow of Justice NS Rao in Shahjahan Road in Tilak Marg was stolen and the main light, along with the pole, was broken.
Police said efforts to trespass on the bungalow in the VIP area, but due to high gate it was not possible.
An FIR under section 379 (Punishment for theft) of the Indian Penal Code based on the complaint filed by Rao was registered at the Tilak Marg police station and investigations have been taken up. No arrests have been made so far.
Rao, is also a member of the Cauvery water disputes tribunal of the Ministry of Water Resources.
"After being informed about the nameplate being stolen by a person who works at his house, Justice Rao immediately came out to check and indeed he found the nameplate missing. Rao did not report the matter to police but two days later Rao found that the doom light at the main gate and the pole on which the light was placed were found damaged and broken," a senior police official told The Pioneer.
Although a new nameplate has been ordered theft of expensive items have become rampant in highly sensitive areas in New Delhi district.
A police official on the conditions of anonymity said there could be reasons why Rao's property was damaged and his nameplate stolen.