This paper reports for the first time on the new laminar quaternary orthorhombic heterometallic quaternary tellurides SrLnCuTe₃, the fabrication of which has been a challenge until this work. Data on the crystal structure of tellurides complete the series of quaternary strontium chalcogenides SrLnCuCh₃ (Ch = S, Se, Te). Single crystals of the compounds were synthesized from the elements by the halogenide-flux method at 1070 K. The compounds are crystallizing in two space groups Pnma (Ln = Sm, Gd and Tb) and Cmcm (Ln = Dy–Tm and Lu). For SrSmCuTe₃ (a = 11.4592(7), b = 4.3706(3), c = 14.4425(9) Å, space group: Pnma) with the largest lanthanoid cation, Sr²⁺ shows C.N. = 7, whereas Sm³⁺ reveals a diminished coordination number C.N. = 6. For SrLuCuTe₃ (a = 4.3064(3), b = 14.3879(9), c = 11.1408(7) Å, space group: Cmcm) with the smallest lanthanoid cation, coordination numbers of six are realized for both high-charged cations (Sr²⁺ and Lu³⁺: C.N. = 6). The cations Sr²⁺, Ln³⁺, Cu⁺ each take independent positions. The structures are built by distorted [CuTe₄]^7– tetrahedra, forming the infinite chains $\{_{\infty }^1{[\mathrm{Cu}{\left(\mathrm{Te}1\right)}_{1/1}^{\mathrm{t}}{\left(\mathrm{Te}2\right)}_{1/1}^{\mathrm{t}}{\left(\mathrm{Te}3\right)}_{2/2}^{\mathrm{e}}]}^{5-}\}$ along [010] in SrLnCuTe₃ (Ln = Sm, Gd and Tb) and [100] in SrLnCuTe₃ (Ln = Dy–Tm and Lu). The distortion of the polyhedra [CuTe₄]^7– was compared for the whole series SrLnCuTe₃ by means of τ₄-descriptor for the four coordinating Te^2– anions, which revealed a decrease in the degree of distortion with a decreasing radius at Ln³⁺. The distorted octahedra [LnTe₆]^9– form layers $\{_{\infty }^2{[Ln{\left(\mathrm{Te}1\right)}_{2/2}{\left(\mathrm{Te}2\right)}_{2/2}{\left(\mathrm{Te}3\right)}_{2/2}]}^{3-}\}$. The distorted octahedra and tetrahedra fuse to form parallel layers $\{_{\infty }^2{[\mathrm{Cu}Ln{\mathrm{Te}}_3]}^{2-}\}$ and between them, the Sr²⁺ cations providing three-dimensionality of the structure are located. In the SrLnCuTe₃ (Ln = Sm, Gd and Tb) structures, the Sr²⁺ cations center capped the trigonal prisms [SrTe₆₊₁]¹²⁻, united in infinite chains $\{_{\infty }^1{[\mathrm{Sr}{\left(\mathrm{Te}1\right)}_{2/2}{\left(\mathrm{Te}2\right)}_{3/3}{\left(\mathrm{Te}3\right)}_{2/2}]}^{4-}\}$ along the [100] direction. The domains of existence of the Ba₂MnS₃, BaLaCuS₃, Eu₂CuS₃ and KZrCuS₃ structure types are defined in the series of orthorhombic chalcogenides SrLnCuCh₃ (Ch = S, Se and Te). The tellurides SrLnCuTe₃ (Ln = Tb–Er) of both structure types in the temperature range from 2 up to 300 K are paramagnetic, without showing clear signs of a magnetic phase transition.