The main purpose of this study was to develop nonradial metafrontier data envelopment analysis (DEA). Previous studies commonly used assumptions involving the redial measure and convexity of metafrontier to evaluate efficiency and the technology gap. The two assumptions have limitations, and a model that modifies the two assumptions simultaneously has not been proposed. In this study, a nonradial metafrontier DEA is proposed that incorporates the assumptions of nonconvexity as well as the nonradial measure. The study also developed the MFR index for measuring the technology gap based on individual factors.