Police acting on a tip found the truck, with the bodies in full view, around midnight Saturday in the municipality of Xalapa.
Besides the dismembered bodies, they also recovered two messages containing threats, an army source told AFP, speaking on condition of anonymity.
The find followed the discovery on Friday of four human heads placed on the hood of a car in the municipality of Sayula de Aleman, also in Veracruz.
Veracruz has been convulsed by violence stemming from gangland disputes between the Jalisco New Generation cartel, the Zetas and the Gulf cartel.