The vehicle fell to the roadside when it was hit by an unknown vehicle. The incidents took place on the Hata-Damoh road late Thursday evening, news agency PTI quoted an official as saying.
The victims were on their way to the city of Hata.
All five occupants of the jeep, including three policemen, were injured and were rushed to the Hata Civil Hospital for first aid, the report said.
The injured were later taken to Damoh District Hospital.
Constables Rajiv Shukla (35) and Naresh Ahirwal (34) were sent to Jabalpur when their condition turned critical and they succumbed to their injuries during treatment, the official said.
Further investigations are underway.