Mr Raghavendra, a BJP lawmaker, was travelling at night in Madapura, around 150 km from Bengaluru, when his driver allegedly knocked down the man.
24-year-old Suresh, who was from a nearby village, was killed instantly. Moments after the accident, a large crowd gathered at the spot. The driver, Ravichandran, has been arrested and charged with fatal rash driving.
The police say Mr Raghavendra stayed and completed whatever was needed before leaving.
Mr Raghavendra's father Mr Yeddyurappa is the chief of the BJP in Karnataka.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.