Measurements of H-1 and Li-7 Nuclear Magnetic Resonance (NMR) are reported for the nanocomposite formed by the intercalation of lithium and dibutylamine in molybdenum disuffide, Li-0.1[(C4H9)(2)NH](y)MoS2. The temperature dependence NMR lineshapes and spin-lattice relaxation times (T-1) measured exhibit the qualitative features associated with the lithium motions, namely the presence of a line narrowing at 230 K. The H-1 and the Li-7 longitudinal magnetization recovery was found to be non exponential. The T-1 values at each temperature was determined from the fit of a stretched exponential function. An activation energy for the lithium motion E-a approximate to 0.18 eV was extracted from the Li-7 relaxation data. The dynamical parameters obtained from the Li-7 temperature dependence relaxation data indicate the mobility of the lithium in the nanocompositeis of the same order of magnitude as those obtained in other lithium intercalation compounds.