We present an improved orbit determination for the visual pair in the M-dwa
rf triple system Gliese 866 that is based on new speckle-interferometric an
d HST observations. The system mass is M = 0.34 +/- 0.03 M-.. The masses of
the components derived using the mass-luminosity relation are consistent w
ith this mass sum. All three components of Gliese 866 seem to have masses n
ot far from the hydrogen burning mass limit.