EXAFS and XANES spectra of Ti K-edge have been measured for 3d transition metal intercalation compounds MxTiS2 (M=Mn, Fe, Co and Ni; x less than or equal to 0.33). We have found that the interatomic distance between Ti and the first nearest neighbor S atoms, R(Ti-S), increases with the guest concentration x. The variation in XANES spectra with x reveals the reduction of the valence state of Ti atoms upon intercalation of M. From these results as well as the M K-edge EXAFS data studied previously, we have proposed a simple model on the local structure of MxTiS2 to reproduce the observed values of R(Ti-S) by averaging local shift of S atoms caused by intercalation.