According to sources, Bhagwat's car was hit by his security vehicle due to the impact on it after a car hit the escort car from behind at the Dhaula Kuan red light point around noon.
Bhagwat was on his was to the airport to take a flight to Gorakhpur.
The RSS chief left in his private vehicle to the airport from the accident spot, sources said, adding, no one was hurt in the incident.
"Due to d impact of d crash d security vehicle was pushed forward n slowly pushed Bhagwatji's vehicle. Nothing happened to Mohanji," he said in another tweet.
The incident took place a day after BJP leader and Union Minister Gopinath Munde died in a car accident on his way to the airport here.