Two new cesium copper oxosulfates, Cs4Cu7O3(SO4)6 (1) and Cs4Cu7O3(SO4)6[Cu0.2O0.2] (2) which can be considered as representatives of the Cs4Cu7+xO3+x(SO4)6 series with x = 0 and x = 0.2, were prepared in evacuated silica tubes. Both compounds are triclinic, P1¯ and contain complex polynuclear ensembles of edge-sharing OCu4 tetrahedra decorated by sulfate anions; these building units are arranged into pseudo-layers. The partially disordered Cs+ cations fill the interstices in the structure. The overall topology of the two structures is very similar; however, in 2, the copper-oxide ensembles are additionally stitched by weakly occupied Cu–O fragments into pseudo-chains; this also results in essential disorder in the Cs sublattice. Both structures have very much in common with those of the puninite-euchlorine-fedotovite morphotropic series. We analyze the crystal chemical trends in this morphotropic series.