In the title compound, [Cu(NCS)(C3H9PS)]n, the thiocyanate ions bind the CuIatoms covalently, forming infinite –Cu—SCN—Cu– chains parallel to theaaxis. Each CuIatom is also coordinated to a trimethylphosphine sulfide groupviaa Cu—S bond. Two crystallographically independent chains propagate in opposite directions, and are held together in a ribbon arrangement by long bonds between CuIatoms in the first chain and thiocyanate S atoms in the second, with Cu—S = 2.621 (1) Å. The geometry around the CuIatoms in the first chain is distorted tetrahedral, with angles involving the long Cu—S bond much less than ideal, and the S—Cu—N angle between the phosphine sulfide S atom and the thiocyanate N atom opening out to 133.19 (9)°. Each CuIatom in the second chain appears to be disordered between two positions 0.524 (4) Å apart, with occupancy factors of 0.647 (6) and 0.353 (6). The CuIatom in the major site is in a distorted trigonal–planar configuration, with the S—Cu—N angle between the phosphine sulfide and the thiocyanate N atom again opened out, to 137.01 (15)°. The CuIatom in the minor site, however, forms in addition a long bond [Cu—S = 2.702 (5) Å] to the phosphine sulfide of the first chain, not the thiocyanate S atom, to provide a further link between the chains.