This study shows the design of a new hybrid power generation system, photovoltaic panel (PV)-coupled solid oxide fuel cell (SOFC) and gas turbine (GT)-electrolyser. Three objectives (cost, pollutant emissions, and reliability), which are usually in conflict, are considered simultaneously. The design of a hybrid system, considering the three mentioned objectives, poses a very complex problem of optimization. A multi-objective optimization method (PESA) is considered to obtain the best combinations for the hybrid system. In this work, the effect of panel's angle change and SOFC-GT fuel type are considered too. In order to study the effect of fuel price, this study is done about two fuel prices: Iran fuel price and international fuel price.