The dataset of the national digital geoid models of Slovenia includes data for: - the Slovenian absolute geoid model from the year 2000 (Slovenian SLOvenski Absolutni Model Geoida 2000) – SLOAMG2000 and - the Slovenian height reference surface from the year 2016 (SLOvenska Višinska Referenčna Ploskev 2016) – SLO-VRP2016/Koper. The models enable transformations between the ellipsoidal heights above the GRS80 ellipsoid in the geodetic datum D96 (ETRS89/D96) and the national height reference systems of: - normal orthometric heights in the height datum Trst – SVS2000/Trst and - normal heights in the height datum Koper – SVS2010/Koper. SLOAMG2000 is a hybrid geoid model (astrogravimetric model) computed by least-squares collocation in the framework of a remove-restore procedure with the use of global geopotential model EGM96. Its resolution is 1ʹ × 1,5ʹ and covers 13,25° < λ < 16,75° and 45,25° < φ < 47,00°. The average geoid undulation is 46,453 m. SLO-VRP2016/Koper is a hybrid quasi-geoid model. It is based on Stokes/Molodensky equations, the Fast Fourier Transform technique, and the use of global geopotential model EGM08. Its resolution is 30ʺ × 45ʺ and covers 13° < λ < 17° and 45° < φ < 47°. The average geoid undulation is 46,162 m. The outer accuracy (based on 871 control GNSS/levelling measurements along levelling lines) is up to 10 cm. The data in this dataset are available in GRI (Gravsoft), GRD (Surfer Grid), and XYZ formats, and – on the ISG (International Service for the Geoid) web page – also in the ISG format.