Ecological problems concerning air pollution and climate change force people to use alternative energy sources for the transportation sector. Therefore, strict limitations are set for automotive manufacturers concerning the exhaust gases, which become stringent year by year. Implementation of hydrogen instead of fossil fuels for the propulsion of vehicles is the solution to have zero noxious and greenhouse gas emissions, which provides relatively high energy density combined with the water as the only exhaust gas. This paper represents the detailed description and derivation of a Toyota Mirai (1st generation) based fuel cell hybrid vehicle model and its components for the purpose of analysis of the hydrogen consumption, change of the state of charge of battery and the variation of other parameters.