Abstarct: Increasing in electricity consumption, decline in fossil fuels resources, and environmental pollution; these are three issues which made countries to have tendency for renewable energy systems. Renewable energy systems are used in power networks in world for 20 years. Since their foundation a lot of progress have been made in technology of these systems. Beside these changes the consumption of new energies are growing too, in a way that the number of distributed generations had risen significantly until 2008 and it will include the 37% of the increasing in energy development in world. The Rankine Cycle (RC) is a suitable technology for converting lower temperature sources to electricity. In this research hybrid ORC with (moharek collector ….) and biomass energy are simulated and are analyzed in terms of energy, exergy and exergoeconomic. Exergoeconomic and parametric study is done to assess parameters. the effect of main Hens, multi-objective optimization (MOO) method baxse on genetic algorithm is applied for optimizing the system by using exergy and exergoeconomic factors and optimal points will be collected. The result of MOO shows that efficiency of exergy is %12.76 and overall cost is 61.69$ /Gj in the best point which the system is balanced .The desirable results in viewpoint of energy factors are 13%.29 for efficiency and 66.96$ for overall cost and in viewpoint of economy the numbers will be 10%.01 and 60.21$/Gj .In addition, Statistical dispersion of effective parameters shows that the input pressure of turbine is the most sensitive parameter and should be maintain in its highest rate