Multi-effect desalination (MED) is one of the promising technology due to the fact that it is used, in particular, in large scale desalination plants. On the other hand, significant and rapid developments have taken place recently in the multi-effect thermal vapor compression (MED- TVC). This study considers a MED-TVC at Zawia in Libya with 4 installations of 80,000 m³/day. The main purpose of the present paper is developing steady state thermodynamic model of this installed plant. A detailed parametric study of the performance of the system has been carried out. The model is implemented by Visual Studio to simulate and evaluate the system performance. The validity of the model is examined and compared with real data of the plant. Good results between real finding and the model are obtained. The results indicate that there are various impacts of the basic process variables on the efficiency parameters. The obtained results show that the top brine temperature (TBT) has a significant effect on the energetic performance parameters. Gained output ratio (GOR), performance ratio (PR), distilled mass flow rate (m_d), and specific total surface area (A_t) are decreasing as TBT increases. But specific heat consumption (Q_s) and entrained ratio (Ra) are increasing as a result of increasing TBT. The study shows that thermal vapor compression (TVC) plays a significant role on enhancing the values of performance ratio (PR) and hence the GOR over the stand-alone MED system. Other input performance variables give various influences on out coming efficiency parameters.