Colorless crystals of diamagnetic InCdBr3 are synthesized from elemental Cd in an InBr3 melt. The new phase crystallizes in the orthorhombic NH4CdCl3 structure type (a = 944.7(2) pm, b = 410.47(8) pm, c = 1545.5(3) pm, Pnma, and Z = 4). Cd2+ is octahedrally coordinated by Br- anions whereas the monovalent In+ cation is located in a strongly distorted trigonal Br- prism, tricapped by other Br- anions. Semiempirical band structure calculations (CSC-EH-TB) show moderately strong covalent contributions to In+-Br- bonding, similar to those found in the binary In/Br crystal chemical system. The quality of the semiempirical calculations is compared in detail with ab initio band structure computations (TB-LMTO-ASA). Valence charge density plots based on the latter disprove the existence of a directed electron "lone-pair" residing on monovalent In+ .