A Lincolnshire Police car left the road and went into a ditch near the A52 in Swineshead.
The accident happened at the junction of Abbey Lane (A52) and Blackjack Road at about 10.30am last Wednesday.
A police spokesman said the officers involved weren’t injured but that the matter would be recorded and investigated in the same way as “any incident on the county’s roads!.
“We treat this the same way as any other collision,” the spokesman said.
“Police cars will get involved in accidents, the same as any other motorist.”