This technical note studies the control design problem for a class of affine nonlinear descriptor systems with actuator saturation, and presents several new results. A stabilization controller design method is first proposed by state feedback and compensation, and a robust H-infinity controller and a robust adaptive H-infinity controller are respectively designed for the discussed system when external disturbances and/or parametric perturbations are taken into account. Simulation results on a nonlinear descriptor circuit system illustrate the efficiency of the controllers presented in this technical note.