(CeS)1.16NbS2 is a misfit layer compound built of alternate double layers of CeS, approximately a {100} slice of NaCl type CeS, and sandwiches of NbS2 with Nb in slightly distorted trigonal prisms of sulfur. The two structural units in the composite crystal are described in centered orthorhombic lattices: a1 = 5.727(1), Å, b1 = 5.765(1), Å, c1 = 11.41(1), Å, space group Cm2a, Z = 4 for the CeS lattice and a2 = 3.311(1), Å, b2 = 5.765(1), Å, c2 = 22.82(2), Å, space group Fm2m, Z = 4 for the NbS2 lattice. Corresponding axes are parallel and the stacking direction is c. Refinements of the CeS part, the NbS2 part, and the common projection using 889, 288, and 135 reflections, respectively, converged to RF = 0.048, 0.069, and 0.072, respectively...