An allyl-containing compound represented by following Formula (3): ##STR00001## wherein R.sup.2, R.sup.3, R.sup.4, R.sup.5 and R.sup.6 may be the same as or different from one another and each represent hydrogen atom or an organic group; R.sup.7 represents an organic group; and Y represents oxygen atom or sulfur atom, is produced by reacting an allyl ester compound represented by following Formula (1): ##STR00002## wherein R.sup.1 represents hydrogen atom or an organic group; and R.sup.2, R.sup.3, R.sup.4, R.sup.5 and R.sup.6 are as defined above, with a compound represented by following Formula (2): R.sup.7--Y--H (2) wherein R.sup.7 is an organic group; and Y is as defined above, in the presence of at least one transition element compound.