For intercalation compounds of TiS2 RKKY coupling is calculated by usi
ng the first-principles band structure of TiS2 and by assuming the rig
id band model. As a function of distance the RKKY coupling shows a cha
racteristic feature depending on the concentration of the intercalant
atom. In particular the RKKY coupling along the c-axis is much smaller
than that in the c-plane reflecting two-dimensional character of the
band structure of TiS2.