A solid catalyst component for olefin polymerization comprising titanium, magnesium and a compound of the general formula (I) ##STR00001## wherein R.sup.1 and R.sup.2 are independently a C.sub.3 straight or branched hydrocarbon group, R.sup.3 is hydrogen or a C.sub.1-4 straight hydrocarbon group, R.sup.4 is a C.sub.1-4 straight or branched hydrocarbon group or a C.sub.3-4 aliphatic cyclic hydrocarbon group when R.sup.3 is hydrogen, R.sup.4 is the same C.sub.1-4 straight hydrocarbon group as R.sup.3 when R.sup.3 is a C.sub.1-4 straight hydrocarbon group, and n is an integer of 1 to 10. A catalyst for olefin polymerization, containing this catalyst component, obtains a high activity with high stereospecificity.