We present preliminary results of our dynamical study of the outer globular cluster system of NGC 1399, the central galaxy in the Fornax Cluster. About 160 new radial velocities for globular clusters at projected galactocentric distances between 8 and 18 arcminutes indicate that the constant velocity dispersion of 276 km/s (for all clusters) already found for the inner region can be traced out to 80 kpc. We find that the kinematical properties of the blue (metal-poor) and the red (metal-rich) globular cluster subpopulations appear to be different: While the velocity distribution of the red clusters is symmetric with respect to the systemic velocity of NGC 1399, the blue clusters show a somewhat asymmetric distribution, with more velocities above the systemic velocity.