They had initially been called around 7.40am on Thursday to a report of a Vauxhall Corsa having left the road near Junction 7 of the M876 near Falkirk.
While the police vehicle was stationary on the hard shoulder, with the officers inside, it was struck by a Renault Clio at around 8.15am.
Both officers and the driver of the Clio were taken to Forth Valley Royal Hospital with non-life threatening injuries.
The female driver of the Corsa was uninjured but was checked at the scene by the Scottish Ambulance Service.
A statement from Police Scotland said: “The road was reopened around 1.30pm and motorists are thanked for their patience during this time.
“The 38-year-old driver of the Clio has been charged in connection with careless driving, and a report will be submitted to the Procurator Fiscal.”