An curable adhesive composition that can form a cured product exhibiting high shear adhesion strength, peel adhesion strength and impact adhesion strength and exhibiting, in particular, excellent cold/hot cycle resistance of adhesion strength, includes (a) a 2-cyanoacrylic acid ester, (b) a high molecular-weight component, such as a polymer, compatible with the 2-cyanoacrylic acid ester, (c) a multifunctional 2-cyano-3-vinylacrylic acid ester, and (d) an onium salt represented by the following general formula (1): C+A−  (1) wherein C+ represents an onium cation, A− represents an anion such provided that the anion does not substantially initiate polymerization of the 2-cyanoacrylic acid, in which the curable adhesive contains components (b)-(d) in predetermined amounts relative to 100 parts by mass of the component (a).