There is provided a zinc oxide based compound semiconductor device in which drive voltage is not raised, property of crystal is satisfactory and device characteristics is excellent, even when the semiconductor device is formed by forming a lamination portion having a hetero junction of the ZnO based compound semiconductor layers. The zinc oxide based compound semiconductor device includes a substrate (1) made of MgxZn1-xO (0≦x≦0.5), the principal plane of which is a plane A (11-20) or a plane M (10-10), and single crystal layers (2) to (6) made of zinc oxide based compound semiconductor, which are epitaxially grown on the principal plane of the substrate (1) in such orientation that a plane parallel to the principal plane is a plane {11-20} or a plane {10-10} and a plane perpendicular to the principal plane is a plane {0001}.