Treatment of the acetylenic epoxides 1 having electron-donating groups at the acetylenic terminus with a catalytic amount of BF 3⊎OEt 2 afforded 6-endo products with inversion of stereochemistry at the propynyl position in a highly stereoselective manner, whereas the acetylenic epoxides 1 possessing electron-withdrawing substitutents at the acetylenic terminus provided under similar acidic condition the corresponding tetrahydrofuran derivatives in a highly selective way.