Hydrogen is a green energy carrier and a promising new energy choice for the generation of power. Hydrogen can be obtained from non-renewable and renewable energy sources. The production techniques include steam reforming of natural gas, coal gasification and water electrolysis. In this paper will be studied the hydrogen production cost considering water electrolysis and different power mix. In the power mix were considered various renewable energy sources, such as wind and solar, and the power grid. For the power mix there were also considered a combination between sources (such as 70% wind and 30% solar). The cost of the renewable energy sources and power grid was considered for several years in order to highlight the changes for this cost. The results show that the hydrogen production cost is the highest when coal, gas and nuclear power is used and the lowest when wind or solar power is used. The cost for water electrolysis is higher compared with the hydrogen production cost for steam reforming of natural gas and coal gasification.