The Digital Surface Model of the Czech Republic, 1st Generation (DMP 1G), represents the territory including buildings and vegetation cover as an irregular network of height points (TIN) with a total root mean square error of 0.4 m for precisely delineated objects (buildings) and 0.7 m for objects that are not precisely delineated (forests and other vegetation elements). The model was created from data acquired by airborne laser scanning of the Czech Republic between 2009 and 2013. DMP 1G is intended for analyses of terrain elevations (DMR 5G) and the geographical objects located on it (buildings and vegetation cover) at regional and, in some cases, local scales, for example in visibility analyses, radio wave propagation modelling, modelling of the dispersion of harmful substances and pollutants in the atmosphere, and generating virtual terrain views in flight simulators and training devices. This dataset is provided in the ETRS89-TM33N coordinate reference system and the EVRS vertical reference system.