Authorities in the province, recently recognized by Russia as an independent state, have blamed the attack on Georgian special forces.
A local police official told RIA Novosti the blast occurred at 7:30 a.m. Moscow time (03:30 GMT) in the village of Chuburkhindzhi in the Galsky District, where the population is predominantly Georgian.
"Fortunately, no troops from the peacekeeping post located in the village were injured. The Ural vehicle was damaged," he said.
Ruslan Kishmaria, an Abkhazian presidential spokesman, said the attack was carried out by an armed group supported by the Georgian security service.
He said the blast had a force of 4 kg of TNT equivalent.