We investigated the growth, interface formation as well as the structural and electrical properties of crystalline gadolinium oxide (Gd2O3) directly grown on 6H-SiC(0001) substrates by molecular beam epitaxy. The Gd2O3 layers were found to grow epitaxially resulting in the formation of flat (111) oriented layers with the cubic bixbyite type of structure. X-ray photoelectron spectroscopy measurements reveal a silicate-like Gd2O3/SiC interface. Furthermore, conduction and valence band discontinuities at the Gd2O3/6H-SiC interface were estimated with 1.9 eV and 1.2 eV, respectively. The fabricated capacitors exhibit suitable dielectric properties at room temperature; such as a dielectric constant of ε = 22, a leakage current of 10-8 A/cm2@1V and breakdown fields > 4.3 MV/cm for layers with 14 nm thickness. The CV measurements exhibit only small negative flat band shifts and a very small hysteresis, resulting from fixed charges or interface trap levels in the range of 1x1012 cm-2. These properties make Gd2O3 suitable for high-k application also for SiC.