The progress of the current energy infrastructure to a new pattern, where hydrogen plays an important role has been increasing the interest of industrial communities, as well as, academics. This is mainly associated with sustainability goals where reducing environmental impacts is a target while guaranteeing economic benefits. In this context, the development of hydrogen optimized global supply chains (SC) that can support industrial processes through renewable energy sources is to be pursued. In this paper, we explore this challenge and a multi-objective, multi-period, stochastic Mixed Integer Linear Programming (MILP) problem for design and planning a hydrogen SC is developed. Uncertainty over the availability of primary energy sources (PES) is considered through the definition of set scenarios. A Portuguese case is explored, from where it as concluded that the reduction in global warming potential is very small when compared to the increase in cost.