We theoretically propose a boron-containing molecule, hexaboracyclophane (HBCP), as an electron-transporting (ET) material with low-power loss. We calculate the vibronic coupling of HBCP, comparing them with those of other ET materials, tris-(8-hydroxyquinoline) aluminum(III) (Alq3) and tris[3-(3-pyridyl)mesityl]borane (3TPYMB). Using the nonequilibrium Green’s function method to evaluate their single molecular ET properties, we show that HBCP exhibits more efficient and lower-power consumption than Alq3 and 3TPYMB. HBCP has suitable highest occupied molecular orbital and lowest unoccupied molecular orbital energy levels as an electron-transport layer when Alq3 is employed as an emitter.