A two-dimensional velocity map in H-alpha of the inner 4 arc min zone of the Scd starburst galaxy NGC 6946 has been obtained using the TAURUS interferometric spectrometer on the 2.5 m Isaac Newton Telescope. The major axis rotation curve is a clean kinematic superposition of a central 1 kpc sphere with solid body rotation and a disk with density falling inversely with radius. Clear evidence is shown of symmetrical radial motions in the plane of the galaxy with velocity up to 100 km/s along axes offset from the major axis by up to + or - 30 deg. Along the bar at position angle 160 deg, outflow out to -2 kpc and significant inflow beyond this radius are seen. These velocity fields give clues to the nature of the starburst process within the central 1 kpc zone of the galaxy.