According to Lafayette Police Sargent Mike Brown, the bicyclist was hit from behind when a driver did not see him.
The bicyclist was taken to the hospital with a head injury that is not believed to be life-threatening.
LPD told News 18, the bicyclist was following the rules of the road.
There was no word on any possible citations for the driver.
The intersection was closed for about half an hour and has since reopened.