Kingham told the BBC he was closing a security barrier at his premises in Lydd when a Fiat van, driven by Schumacher struck the end of it.
The barrier hit his leg "sending him spinning" on to the bonnet of a car.
Police called to the incident said they helped both men to swap details and no further action was needed.
Kingham was unhurt, while only minor damage was caused to Schumacher's van in the collision.
Kingham said: "The penny suddenly dropped and I realised it was Michael Schumacher. When I phoned my business partner later and told him that you'll never guess who I've been run over by, he wouldn't believe me."
A spokesman for Schumacher confirmed the incident had taken place and that he had co-operated with police.