The accident took place in the Nile Delta north of the capital Cairo on Monday evening, when the truck drove onto the ferry -- which did not have a licence to carry vehicles.
The truck then fell off and sank in the river, the statement added, noting that children were among the missing.
A total of 14 people were rescued, and the search continues for the missing bodies.
The prosecutor's office said authorities had arrested the driver of the vehicle and three ferry employees.