Ecosystem services provide the foundation upon which human societies are built. To better understand these services in the European Alps, the project “AlpES - Alpine Ecosystem Services - mapping, maintenance, management” was started in December 2015. The project aims to collect, analyse and distribute information about the ecosystem services (ES) provided by the unique yet threatened ecosystems of this famed region. The will end in December 2018. This report summarizes the outputs of the “Mapping and Assessment” work package, for which Eurac Research, in close collaboration with the University of Innsbruck, was responsible. The mapping and assessment of multiple ES was carried out at the municipal scale for the entire Alpine Space cooperation area. In total, 21 maps of different ES indicators were produced, which are made available to the reader in the third chapter of this report (and online in the dedicated WebGIS). Each map is accompanied by an individual description to ease its interpretation. Furthermore, the report also includes a brief overview of the basic concepts of ES and the methodologies used for their mapping and assessment.