"A car containing three police officers was blown up in the center of the Troitskaya village at 08:45 a.m. Moscow time (05:45 GMT)," the official said.
He said the officers had been hospitalized and one of them was currently in a serious condition.
The scene has been cordoned off, police are looking into the incident, he said.
Ingushetia has seen a rise in violence, including bombings and other attacks on police and officials, which have been linked to separatists in neighboring Chechnya and local crime gangs.