Prasad was taken to private hospital in city where he was given two stitches on the head and discharged late last night.
His PA Bhola Yadav told PTI that the accident occurred at around 10 PM when his car was crossing a pantoon bridge near Kachchi Dargah on way to Raghopur.
The vehicle got stuck in the middle of the bridge and due to a sudden jerk, the windshield broke.
Shards of glass then hit Prasad who was sitting on the front seat, Yadav said.
His condition was stable and he would proceed on his party programme later in the day, the PA said.
Prasad is touring different part of the state to drum up support for his May 15 rally in Gandhi Maidan here.