Evolutionary algorithms and the particle swarm optimization method have been used to predict stable and metastable high hydrides of iron between 150 and 300 GPa that have not been discussed in previous studies. Cmca FeH 5, Pmma FeH 6, and P 2/ c FeH 6 contain hydrogenic lattices that result from slight distortions of the previously predicted I 4/ mmm FeH 5 and Cmmm FeH 6 structures. Density functional theory calculations show that neither the I 4/ mmm nor the Cmca symmetry FeH 5 phase is superconducting. A P 1 symmetry FeH 7 phase, which is found to be dynamically stable at 200 and 300 GPa, adds another member to the set of predicted nonmetallic transition metal hydrides under pressure. Two metastable phases of FeH 8 are found, and the preferred structure at 300 GPa contains a unique 1-dimensional hydrogenic lattice.