Nonlinear analysis method is one of the earliest methods proposed for form-finding analysis of tensioned fabric structures. However due to some inherent weaknesses, the method has not been fully developed. In this paper, computational strategies for form-finding analysis of tensioned fabric structure using the nonlinear analysis method has been proposed. For the purpose of verification, form-finding analysis on numerical examples of tensioned fabric structures in the form of minimal surfaces Catenoid, Helicoid, Scherk and Enneper have been carried out. Both the obtained shape and pre-stress pattern have been checked with classical solutions for the above minimal surfaces for verification of the effectiveness of the proposed computational strategies.