Tremors were felt in Valasaravakkam, Santhome and parts of Kodambakkam, they said.
The Seismology Unit of the Regional Meterological Centre here said the tremors were felt as a result of the 7.1 magnitude quake epicentred in Nepal.
Residents and office-goers fled buildings in the localities to safer zone. There were no reports of any damage to life or property, police said.
A powerful earthquake measuring 7.1 on the Richter scale epicentred in Nepal shook West Bengal, Delhi and several parts of north India today.