"The attack was directed at one or two people who were aboard the vehicle," Sauceda said.
Assailants tried to force the driver of the bus to stop, and when he failed to do so, they opened fire with assault rifles on the vehicle. The attackers fled in two vehicles, and police are searching for them, Sauceda said.
The attack in eastern Honduras came three days after the bombing of a bus in neighboring Guatemala killed 6 people.
The motive in the Guatemala attack appears to be related to extortion by street gangs.
The motive in Thursday's attack is still being investigated.