A compound represented by the following general formula (I): ##STR00001## [wherein R.sup.1 represents hydrogen atom, or an alkyl group, R.sup.2 represents a hydroxyalkyl group, or a triarylmethyloxyalkyl group, or R.sup.1 and R.sup.2 combine together to represent --C(R.sup.3)(R.sup.4)-- (R.sup.3 and R.sup.4 represent hydrogen atom, an alkyl group, or hydroxyl group, or R.sup.3 and R.sup.4 may combine together to represent oxo group), or --C(R.sup.5)(R.sup.6)--O--C(R.sup.7)(R.sup.8)-- (R.sup.5 to R.sup.8 represent hydrogen atom, an alkyl group, or hydroxyl group, or R.sup.5 and R.sup.6 may combine together to represent oxo group, and R.sup.7 and R.sup.8 may combine together to represent oxo group); Ar.sup.1 to Ar.sup.4 independently represent an aryl group (the aryl group may have 1 to 5 of the same or different substituents), *1 to *4 indicate asymmetric carbons, and configurations are cis between *1 and *2, cis between *3 and *4, and trans between *2 and *3]. An optically active phosphine ligand which can be easily synthesized and gives a transition metal complex showing superior asymmetric catalyst activity is provided.