However, there were no reports of any casualty or damage to property in the tremors.
The quake measuring 2.5 to 3.3 on the Richter scale hit the city within a span of three hours, between 12.41 am and 3.40 am and the epicentre was in South Delhi.
The epicentre of all the four quakes were at a depth of 10-11 km and situated at 28.4 degree North Latitude and 77.4 degree East Longitude, Indian Meteorological Department said.
The first quake, measuring 3.1 on the Richter scale occurred at 12.41 am, while three more tremors of 3.3, 2.5 and 2.8 magnitude on Richter scale occurred at 1.41 am, 1.55 am and 3.40 am respectively, the IMD official said.
"Since the depth of epicentre of the quake was just 10 to 11 km below the surface so people felt the tremors but there were no reports of damage," said M Shashidhar Reddy, Vice Chairman of National Disaster Management Authority.
According to the Fire Department, they did not receive any report of damage in the city. Many people ran out of their homes when the tremors shook buildings.
"I was sleeping when I felt the house was shaking, I got up and woke my family members and ran out of the house, but as soon as we returned another tremor hit," said Rajan Rishi, residing in Paryavaran complex area.
"This is for the first time I had experienced four successive tremors in my life," said Ram Adhir, who is in his 50's.