The accident occured when one of the vehicles in Dikshit's convoy tried to save a cyclist who came in between two cars of the entourage.
The car carrying Dikshit had moved well ahead when the incident happened involving the remaining vehicles of her convoy.
The Chief Minister was going to Delhi Secretariat from the Raj Bhavan after attending the swearing-in ceremony of Justice Darmar Murugesan as Chief Justice of the Delhi High Court.
Four Delhi Police constables and a senior official in the Chief Minister's Office sustained minor injuries in the accident which took place around noon.
"The accident took place when a cyclist in a wrong direction entered the Chief Minister's entourage. The driver while trying to save the cyclist applied the brake, following which the car behind the vehicle rammed into it," said an official.
Five vehicles in the convoy were partially damaged in the accident as they collided back to back.
All the injured persons were admitted in hospital and were released later. The Chief Minister wished early recovery of the injured.