[en] Thin Nb films are grown by electron beam evaporation in an ultrahigh vacuum system on molecular beam epitaxy grown (001)InAs epitaxial layers. The Nb on InAs grows as a single-crystalline deposit at a substrate temperature of 200 degree C. The orientation relation is (001)Nb//(001)InAs with [110]Nb//[110]InAs, which is different from Nb growth on GaAs. The interface between Nb and InAs features a crystal-disordered layer with a thickness of 1--2 nm, which provides relaxation from lattice mismatch. Critical current measurement of Nb/InAs/Nb junctions shows that the crystal-disordered layer does not affect the superconducting characteristics of the junctions