Penn Harris Madison school officials said the incident took place before 7:45 a.m. in Osceola, outside of South Bend.
No one was injured, and the bus had its lights flashing and stop sign out.
SEE ALSO: Pedestrian critically injured on West Side, Chicago police say
Officials are trying to find the car involved, which is described as a red Dodge Charger, with very dark tinted windows and possibly a black stripe down the side.
The driver is described as a petite female, about 5-feet, 4-inches tall, with long braids, some red, school officials said.
Anyone with information is asked to contact the St. Joseph County Police Department at Trafficcomplaints@sjcpd.org or 574-235-9032 X6440.
Storyful contributed to this report.