Numerous form-finding methods have been proposed for tension structures. While these methods are satisfyingly effective they require some special experiences or techniques for practical applications. This paper introduces the application of the generalized steepest descent method to finding minimal surfaces putting stress on its simple numerical concept. We also apply the method to solve the minimal surface with constraint conditions, which will be proved as a great help to improve the shape of membrane surface for architectural purposes. Soap film tests are illustrated to show the plausibility of the numerical results. Some remarks about the solution surface are also discussed.
