The approximate phase-equivalent potentials to Manning–Rosen one are constructed using supersymmetric algebra. Using the supersymmetric factorization method, four SUSY transformations T$_1$, T$_2$, T$_3$ and T$_4$ are operated in pairs on Manning–Rosen potential to construct three different phase-equivalent potentials. These methodologies are verified by computing scattering phase shifts for different partial waves of nucleon-nucleon and α–nucleon systems using the newly constructed phase-equivalent potentials. Good agreement with standard phase-shift data prove the merits of our approaches.