In the present study, performance analysis of a multi effect distillation with thermos vapor compressor (MED-TVC) desalination system coupled to a combined cooling, heating and power (CCHP) system with gas turbine prime mover has been carried out to cogeneration of cooling, heating, power and potable water. The system incorporates air compressor, combustion chamber, gas turbine, triple pressure heat recovery system generator (HRSG), absorption chiller and MED-TVC. A thermodynamic modeling based on mass and energy balance equations is applied for each component of the integrated system. The engineering equation solver (EES) software was used for modeling. It is found that the efficiency of the integrated system reached to 84% (the efficiency of the gas turbine cycle was 32%). Furthermore, a parametric study has been presented in order to investigate the effects of the operational parameters on the performance of the integrated system.