It is an object of the present invention to provide a curable composition capable of providing good rubber-like mechanical properties with low stress and high elongation, without sacrificing tack, recovery, curability, weathering resistance, storage stability and other characteristics.This invention relates to a curable composition which comprises (a) an oxyalkylene polymer containing at least one reactive silyl group per molecule thereof and (b) a compound having an intramolecular .alpha., .beta.-diol or .alpha., .gamma.-diol structure.