Both the minister and the MP were not travelling when the incident occurred in Vijay Chowk, the square in front of Rashtrapati Bhavan in central Delhi.
Police said Verma's car was on the wrong side.
On June 3, Union minister Gopinath Munde died in a tragic accident in New Delhi
"Verma's car driver along with head constable Suresh Kumar and constable Trilok Chandra of Bharti's escort vehicle received minor injuries," said a police officer.
A case has been registered against the driver.
One June 3, Union minister and senior BJP leader Gopinath Munde died [read here] when his car was hit by a speeding vehicle while he was on the way to New Delhi airport. Munde died in hospital.
A day after that tragic incident, RSS chief Mohan Bhagwat escaped unhurt [read here] after his car was hit by his security escort vehicle. He, too, was on way to the airport.