A hydraulic system for use with an agricultural harvester header is provided. The hydraulic system includes a reversible hydraulic pump that drives a reversible hydraulic motor in a forward or harvesting direction and a reverse or header cleaning direction. The system can further include a second reversible pump similarly driving a second reversible hydraulic motor in forward and reverse directions. The pumps and motors can be used to operate various header implements, e.g., the first pump and motor may be used to operate at least a crop cutting knife and the second pump and motor can be used to operate at least one conveyor. The pumps and motors operate within hydraulic circuits which share their hydraulic fluid with the harvesters hydraulic fluid reservoir, thereby reducing system weight, complexity and maintenance requirements.