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A process for preparing an asymmetric compound by using a metal complex which enables the preparation of an optically active substance not containing any rare earth metal element and having a high optical purity. A metal complex composed of an optically active binaphthol of genes formula (1), aluminum and an alkali metal (or an alkaline earth metal) is prepared by reacting the optically active binaphthol with lithium aluminum hydride or with a dialkylaluminum hydride and a base containing an alkali metal (or an lakaline earth metal). The use of this metal complex in the asymmetric Michael reaction or asymmetric phosphonylation as the catalyst makes it possible to prepare an asymmetric compound having a high optical purity in a high yield.