It happened shortly after 2:00 p.m. Sunday at Cedar Lane Road and Boyd's Corner Road.
Police say 60-year-old Gary Brounce was on his motorcycle heading north of Cedar Lane Road.
An initial investigation revealed that Brounce drifted off the road and when he tried to correct himself, he lost control and crashed. The victim was taken to Christiana Hospital in critical condition.
The crash remains under investigation.