The optimum shape of hydrodynamic film that provides the greatest load-carrying capacity (LCC) in sectorial-shape thrust bearings is obtained using sequential quadratic programming (SQP). Also presented are three suboptimum solutions for special cases of 2D step profile, constant film thickness in the radial direction and constant film depth with quadrilateral shape. These configurations are particularly attractive because they can be easily manufactured. Results reveal that optimally designed bearings can achieve more than 100%increase in LCC compared to the conventional inclined pad or step bearings.