(SnS)_1.20TiS₂ is a misfit layer compound built of alternately double layers of SnS with distorted rocksalt-type structure and sandwiches of TiS₂ slightly distorted compared with those of 1T-TiS₂. For comparison with other misfit layer compounds the triclinic subsystems are described in centred unit cells: for the SnS part, a₁=5.683(1)AA, b₁=5.832(1)AA, c₁=11.680(5)AA, alpha ₁=95.85(3) degrees , beta ₁=94.78(3) degrees , gamma ₁=90.03(2) degrees , the space group is C1 and Z=4; for the TiS₂ part, a₂=3.412(1) AA, b₂=5.835(1) AA, c₂=23.289(3) AA, alpha ₂=95.86(1) degrees , beta ₂=90.30(1) degrees , gamma ₂=90.01(1) degrees , the space group is F1 and Z=4. In real space, a₁ and a₂ as well as b₁ and b₂ are parallel while the c axes diverge. In reciprocal space both sublattices have the (b^*,c^*) plane in common. Refinements were performed of the SnS part using 1351 independent reflections (R_F=0.087) and of the TiS₂ part using 714 reflections (R_F=0.080). Each Sn atom is coordinated to five S atoms of the SnS double layer with SnS distances of 2.610(3), 2.866(4), 2.873(4), 2.911(4) and 2.976(4) AA, and at larger distances to S of TiS₂. The Ti-S distances of the distorted TiS₆ octahedra with symmetry 1 are 2.417(2), 2.429(1) and 2.428(1) AA. Sn atoms are between rows of sulphur along a of S of TiS₂. The structural relationship with other misfit layer compounds is discussed.