The catalytic, enantioselective [2 + 2] cycloaddition reaction of 1-methoxyallenylsilanes with a-imino ester has been achieved by means of the [Cu(MeCN)(4)]BF4/(R)-Tol-BINAP catalyst to afford 3-methylene-azetidine 2-carboxylates in good yields and with excellent enantiomeric excesses. The acid-catalyzed ring opening of the azetidines afforded chiral acylsilanes quantitatively.