The isotypic aluminium stannides Ln9Al5Sn10 (Ln = Yb, Eu) are the first ternary compounds in the systems Yb‐Al‐Sn and Eu‐Al‐Sn. They were synthesized in the course of systematic experimental work on the phase stability along the sections LnAl2 – LnSn2 from the elements at maximum temperatures of 1170 K. Their crystal structures were determined using single‐crystal X‐ray diffraction [both monoclinic, space group C2/m, a = 2145.2(5)/2214.99(8), b = 1189.15(14)/1236.67(4), c = 1003.9(2)/1027.57(4) pm, β = 103.22(2)/103.300(3)°, Z = 2, R1 = 0.0492/0.0515 for Ln = Yb/Eu]. The two phases are isotypic to the respective calcium/strontium Al stannides. Their crystal structure can be best described as a complex three‐dimensional network, consisting of three different building units (motifs I, II, and III), which are connected by two‐bonded tin atoms (motif 0). The first motif is a planar zigzag chain of tin like in the CrB‐type structure of e.g. EuSn. Ladders of four‐bonded Al/Sn atoms (motif II) are also present in SrAl2 (KHg2 structure type). The trigonal‐bipyramidal units [Al3Sn2] of motif III, which can alternatively be described as three AlSn4 tetrahedra sharing one common edge, are also known from binary barium aluminides like Ba7Al10. In the Yb compound, this motif III is to a small extent of 17 % statistically substituted by an alternative but related motif IIIB, which consists of only two edge‐sharing AlSn4 tetrahedra. Despite the complex structure and some statistically occupied Al/Sn positions, the chemical bonding in the title compounds can be rationalized using the Zintl concept: Both the interpretation as aluminide/stannides and stannido‐aluminates results in only a minuscule difference between the formal charge of the Al/Sn polyanion and the charge sum of the divalent rare earth cations. FP‐LAPW bandstructure calculations of an ordered subgroup model of the europium compound confirm this interpretation in exhibiting a pronounced minimum of the tDOS slightly below the Fermi level.