We report on the radial velocity measurements of 18 globular clusters and one dE galaxy in the field of the giant elliptical galaxy NGC 1399 , the dominant galaxy of the Fornax cluster . We present also the radial velocity measurements of some candidates for young and super metal-rich globular clusters , which turn out to be foreground or background objects , viz . 28 stars and 7 galaxies . The bonafide globular clusters are selected , on the basis of their magnitudes and colors , to be metal-rich . For this cluster sample we measure a mean radial velocity of v _ { rad } = 1353 \pm 79 km s ^ { -1 } , and a velocity dispersion of \sigma = 338 \pm 56 km s ^ { -1 } . Using a few different mass estimators , this implies M / L values in the range 50 - 130 within a radius of 28 kpc , consistent with M / L rising with radius . Our velocity dispersion estimate \sigma is intermediate between the value computed from the integrated stellar light at smaller radii , and that computed at large radii from recent X-ray observations .