We suggest a new deformed Schiöberg-type potential for diatomic molecules. We show that it is equivalent to Tietz–Hua oscillator potential. We discuss how to relate our deformed Schiöberg potential to Morse, to Deng–Fan, to the improved Manning–Rosen, and to the deformed modified Rosen–Morse potential models. We transform our potential into a proper form and use the supersymmetric quantization to find a closed form analytical solution for the ro-vibrational energy levels that are highly accurate over a wide range of vibrational and rotational quantum numbers. We discuss our results using four-diatomic molecules , , , and . Our results turn out to compare excellently with those from a generalized pseudospectral numerical method.