A conveyor cargo handling system for the synchronized, computerized loading and unloading of cargo containers from a vessel is comprised of at least two conveyor lines. Individually powered conveyor units, idler conveyor units, translate powered conveyor modules (“TPCM”), and rotate powered conveyor modules (“RPCM”), are remotely computer coordinated to operate in concert to safely and efficiently control traffic flow on the container terminal. The system eliminates much of the ground transportation conventionally utilized to move cargo containers to their storage destination.