We have investigated electronic states of (La_1-xCa_xO)Cu_1-xNi_xS using ⁶³Cu and ¹³⁹La nuclear magnetic resonance (NMR). The relaxation process of ⁶³Cu is confirmed to be quadrupole process for x=0, while the magnetic process dominates in x=0.1 at low temperature (T). ⁶³Cu spin-lattice relaxation time T1 in x=0.1 at low T roughly follows the Korringa-like relation of T₁T〜50 (sK), suggesting that the system is in a metallic state.