<p>Centrifugal pumps equipped with a screw inducer are used in many applications, especially when a proper inlet pressure is required to prevent cavitation. A straightforward mean to design such pumps while considering limits on size, rotational speed, flow rate, and power consumption is not well-known. This research contains the steps toward the design of a cryogenic screw-centrifugal pump working with liquid oxygen, with the help of empirical and analytical relations based on Ovsiannikov’s design method. The geometric design of the pump, which contains more than thirty detailed parameters of pump inlet, inducer, impeller, volute, and diffuser is obtained. Then, by modeling the designed pump into a three-dimensional concept, and at the end, the flow field inside the pump was investigated and analyzed under different working conditions through computational fluid dynamics using the CFX solver. The results obtained with the help of numerical simulation indicate a good agreement of the performance data of the numerical method in comparison with analytical relations at the design point. This data matching makes the numerical setup to be considered as a reliable approach for predicting the pump behavior at other operating conditions. Subsequently, characteristic curves of the pump and efficiencies were obtained.</p>