Low-dispersion spectra of 47 globular clusters within 9' of the core o
f NGC 1399 have been used to deter-mine individual cluster velocities
to a precision of approximately 150 km s-1. The sample as a whole has
a mean velocity of 1518 +/- 91 km s-1 and a velocity dispersion of 388
+/- 54 km s-1. If the clusters are on purely circular orbits, we can
place a lower limit on a globally constant mass-to-light (M/L) ratio o
f 79 +/- 20 M./L.B. This is several times larger than values of M/L de
termined from the stellar component closer to the core and implies tha
t M/L must increase substantially with radius. The velocity dispersion
of the globular cluster system is almost a factor of 2 larger than th
e velocity dispersion measured for the stellar component at 90'' but i
s very similar to the unusually low velocity dispersion of member gala
xies of the Fornax Cluster. This implies that the globular cluster sys
tem (and by extension the cD envelope) is better associated with the F
ornax Cluster as a whole than with NGC 1399 itself