In his paper, performance modeling and parametric study of a tubular solid oxide fuel cell (SOFC) fed by hydrogen was conducted. The components of the fuel cell system and its reactions were entirely modelled and an electrochemical analysis done for it. A variety of modeling parameters including temperature, working pressure and the air mass- flow rate have been investigated in order to observe their impact on efficiency and power. The results showed that the efficiency of fuel cells and output power is increased by increasing the coefficient of fuel productivity, the actual voltage and current density fuel cell that the optimum value of coefficient productivity and current density are 0.7 and 7030 A/m². Also the complete calculation of equations related to the solid oxide fuel cell has been done in three distinct sections of optimization, electrochemical and heating. For more accuracy, the results of modelling were compared with those of reliable sources and experimental findings, which showed a good compatibility.