In order to minimize problems and enhance production, many oil-well applications using jet pumps associated with artificial lift systems have been suggested in the literature. In some scenarios, gas from the annulus can be beneficially compressed by using oil-well's production as power fluid. Because multiphase fluids are generally produced, understanding and modeling multiphase jet pumps for gas compression (MJPG) is essential for design applications. Considering homogeneous multiphase flow, a simplified model is proposed and analytical solutions are presented in this article. A detailed analysis of the proposed model is performed and its physical con- sequences are discussed. Very good agreement between the proposed model and the conducted 3D numerical simulations (Ansys CFX 16.0) was observed. Furthermore, in agreement with experimental results reported in the literature, the numerical results showed that the MJPG is highly influenced by mixing process in the throat. Finally, the numerical simulations showed that slippage hinders complete mixing in the throat and reduces pump's efficiency.