Future field effect transistors may use germanium as a high mobility channel material instead of silicon, and high dielectric constant (κ) oxides such as ZrO2 and HfO2 instead of SiO2 as the gate dielectric. First principles calculations of the polar (100) and nonpolar (110) Ge:ZrO2 interfaces are presented. A number of interface configurations that satisfy the valence bonding requirements are constructed and their relaxed structures, total energies, interface electronic states, and band offsets are calculated. For the polar (100) interfaces, the results are quite similar to those of (100) Si:ZrO2. There are numerous semiconducting O-terminated interfaces. The most stable O-terminated interface for a 1×1 surface unit cell has three coordinated oxygen sites. The interface with a tenfold coordinated Zr is the most stable metal-terminated interface, but it is metallic which makes this interface not useful for devices. The band offsets of the O-terminated interfaces have a relatively narrow range, whereas the Zr-terminated band offsets exhibit a range of 0.9eV.