A system for dispensing sheet material such as security documents from one of two sheet compartments to a collecting station is disclosed. The system includes a delivery roller and a stepping motor provided independently for each of the two sheet compartments. The delivery roller associated with each of the sheet compartments draws the foremost sheet from a sheet stack within the respective compartment. The foremost sheet drawn off from the stack is fed to a conveyor roller independently associated with each respective sheet compartment wherein the conveyor roller of each sheet compartment is driven by the stepping motor of the other sheet compartment. The sheet drawn off from the stack is fed to a dispensing conveyor which is common to both sheet compartments. The drive for the system is carried out by the two stepping motors. The motors are operated in opposite directions when dispensing is taking place from each of the sheet compartments. While one motor is driving a delivery roller for its respective sheet compartment, the motor for the other sheet compartment drives the conveyor roller for the other sheet compartment. The delivery and conveyor rollers of one sheet compartment operate in one mode as the delivery and conveyor rollers of the other compartment idle. The delivery and conveyor rollers of the other compartment operate in a second mode as the delivery and conveyor rollers of the one compartment idle.