Method for making a porous graphene layer of a thickness of less than 100 nm with pores having an average size in the range of 5-900 nm, includes the following steps: providing a catalytically active substrate catalyzing graphene formation under chemical vapor deposition conditions, the catalytically active substrate in or on its surface being provided with a plurality of catalytically inactive domains having a size essentially corresponding to the size of the pores in the resultant porous graphene layer; chemical vapor deposition using a carbon source in the gas phase and formation of the porous graphene layer on the surface of the catalytically active substrate. The pores in the graphene layer are in situ formed due to the presence of the catalytically inactive domains.