<p>A high-pressure fuel pump driving structure for an engine, comprising: a skew gear (5) with an internal spline; a sleeve (4) with an external spline; a sliding sleeve (7); and a fixed sleeve (9); the sleeve (4) is mounted fixedly on a pump shaft of the high-pressure fuel pump, and the fitting clearance of the external spline of the sleeve (4) and the internal spline of the skew gear (5) enables the skew gear (5) to slide relative to the sleeve (4) along axial direction. The sliding sleeve (7) and the fixed sleeve (9) are coaxially sleeved together and can slide relative to each other axially. One end of the sliding sleeve (7) is propped against the skew gear (5). A pre-compressed spring (8) is provided between the sliding sleeve (7) and the fixed sleeve (9). The structure is capable of avoiding the axial force produced by driving the skew gear, thereby being more applicable for high-pressure fuel pump and reducing noise.</p>