Moringa oleifera seed is an important source of high oleic acid in vegetable oil. In the present work, supercritical extraction of Moringa seed oil has been carried out to study the influence of operating temperature, pressure, particle size, carbon dioxide flow rate, and co-solvent addition by performing experiments in the range of 333-373 K, 20-40 MPa, 0.50-1.00 mm, 0.83. 10-4-2.50. 10-4 kg/s, and 0-10% ethanol. The extraction data have been successfully modeled by extended Lack's model and fitting parameters are optimized by the Box global optimization technique. The results showed that pressure has a significant effect followed by temperature, co-solvent, solvent flow rate, and particle size.