Plasma-assisted molecular beam epitaxial growth of Mg-doped, p-type and Si-doped, n-type m-plane GaN on 6H m-plane SiC is demonstrated. Phase-pure, m-plane GaN films exhibiting a large anisotropy in film mosaic ͑ϳ0.2°full width at half maximum, x-ray rocking curve scan taken parallel to ͓1120͔ versus ϳ2°parallel to ͓0001͔͒ were grown on m-plane SiC substrates. Maximum hole concentrations of ϳ7 ϫ 10 18 cm −3 were achieved with p-type conductivities as high as ϳ5 ⍀ −1 cm −1 without the presence of Mg-rich inclusions or inversion domains as viewed by cross-section transmission electron microscopy. Temperature dependent Hall effect measurements indicate that the Mg-related acceptor state in m-plane GaN is the same as that exhibited in c-plane GaN. Free electron concentrations as high as ϳ4 ϫ 10 18 cm −3 were measured in the Si-doped m-plane GaN with corresponding mobilities of ϳ500 cm 2 / V s measured parallel to the ͓1120͔ direction.