The electrical conductivities of complex hydrides Li 2 (BH 4 )(NH 2 ) and Li 4 (BH 4 )(NH 2 ) 3 consisting of (BH 4 ) À and (NH 2 ) À anions are investigated focusing on their low melting temperatures (365 K for Li 2 (BH 4 )(NH 2 ) and 490 K for Li 4 (BH 4 )(NH 2 ) 3 ). The two hydrides show lithium fast-ion conductivities of about 1 Â 10 À4 SÁcm À1 at room temperature. After melting, the total ion conductivities of Li 2 (BH 4 )(NH 2 ) and Li 4 (BH 4 )(NH 2 ) 3 reach 6 Â 10 À2 SÁcm À1 (378 K) and 2 Â 10 À1 SÁcm À1 (513 K), respectively. The crystal structure and local atomistic structures closely correlated with the lithium ion conduction before and after melting are also discussed.