Software requirements selection (SRS) is an important research issue of the software requirements elicitation process. Different methods have been developed for the selection of software requirements by using the ant colony optimization, teaching learning based optimization, analytic hierarchy process (AHP), technique for order preference by similarity to ideal solution (TOPSIS), etc. Based on our literature review, we identify that existing methods for SRS do not support the integrated approach based on fuzzy AHP and fuzzy TOPSIS for the selection of software requirements from the set of requirements. Therefore, to address this issue in this paper we propose an integrated fuzzy AHP and fuzzy TOPSIS method for the selection of software requirements. Finally, the explanation of the proposed method is demonstrated with the help of a case study.