Yellow and pink crystals of InFeBr3 and InMnBr3, the first structurally characterized transition metal bromides containing univalent indium, are synthesized from elemental Fe/Mn and molten InBr3. The orthorhombic crystal structures (InFeBr3 : a = 934.81(9) pm, b = 394.35(4) pm, c = 1514.1(2) pm; InMnBr3 : a = 943.1(1) pm, b = 398.95(4) pm, c = 1535.3(2) pm; Pnma, Z = 4) are isotypic with NH4CdCl3. While the transition metals cations are octahedrally coordinated by Br- anions, monovalent indium cations are found in strongly distorted trigonal Br- prisms which are tricapped by additional Br- anions. InFeBr3 and InMnBr3 show Curie-Weiss paramagnetism whereas only InFeBr3 exhibits antiferromagnetic ordering below 15 K. Semiempirical band structure calculations (CSC-EH-TB) reflect strongly covalent contributions to In+-Br- bonding, exceeding those interactions found in the binary In/Br crystal chemical system. Moreover, there is weak In+-In+ bonding between neighboring unit cells. Valence charge density plots based on ab initio band structure computations (TB-LMTO-ASA) disprove the existence of a directional electron "lone-pair" centered on monovalent In.