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The water and power cogeneration system with thermal vapor compressor (TVC) is studied in which condensing power plant provides extraction steam for the low-temperature multi-effect distillation desalination system (MED) with TVC as motive steam. The influence of the different position of both the secondary steam which is used as injection steam and the extraction steam of turbine on the performance of both the TVC and the cogeneration system under off-design operation is discussed. It is used by the matrix to solve the power plant thermal system. Off-design operation model is based on the calculation of off-design, using Friuli Nagel formulation. For the desalination process, equivalent temperature difference method is adopted. The thermo-economic model of the water cost is also established to assess the cogeneration system. By summarizing the results it is concluded that the water cost reduces as the electric load increases. While the extraction position is No.5, it is suggested to adopt 2+4 injection position to get the water cost lowest. While injection position is 2+4, it is concluded to adopt No.6 extraction position to get the water cost lowest.