The structures, stability and activation of B-H bonds of the twelve kinds of Ir(I) complexes supported by phosphine with o-carborane and carba-closo-dodecaborate ligand substituents, η 2-C 8 H 12 Ir(I)Cl(PR 2 (CB 11 H 11-)) and η 2-C 8 H 12 Ir(I)Cl(PR 2 (C 2 B 10 H 11)) (R=Me, iPr and CH(CF 3) 2) and η 2-C 8 H 12 Ir(I)Cl(P(CH 3) 2 X(CB 11 H 11-)) and η 2-C 8 H 12 Ir(I)Cl(P(CH 3) 2 X(C 2 B 10 H 11)) (X=CH 2 , NH and O) have been investigated using density functional theory (DFT) BP86 functional. Calculated results indicated that the B-H bonds in η 2-C 8 H 12 Ir(I)Cl(P(CH(CF 3) 2) 2 (CB 11 H 11-)) and η 2-C 8 H 12 Ir(I)Cl(PR 2 (C 2 B 10 H 11)) (R=iPr and CH(CF 3) 2), as well as η 2-C 8 H 12 Ir(I)Cl(P(CH 3) 2 R(CB 11 H 11-)) and η 2-C 8 H 12 Ir(I)Cl(P(CH 3) 2 R(C 2 B 10 H 11)) (R=CH 2 , NH and O) are both thermodynamically and dynamically favorable to be activated, in which the oxidation addition of B-H bond in η 2-C 8 H 12 Ir(I)Cl(P(iPr) 2 (C 2 B 10 H 11)) is consistent with the experimental results. In contrast, the B-H bonds in η 2-C 8 H 12 Ir(I)Cl(P(R) 2 (CB 11 H 11-)) (R=Me and iPr) and η 2-C 8 H 12 Ir(I)Cl(P(CH 3) 2 (C 2 B 10 H 11)) cannot be activated, in