As for this invention, (i) (a) at least the triglyceride of 1 genera, and/or (b) formula R COH (in formula, as for R it is C - C alkyl group.)It regards the adhesion agent composition which includes with the oil of the polarity which at least includes the fatty acid of 1 genera, or the fat and (ii) at least the homo- polymer of 1 genera and/or the copolymer can apply to the skin. In addition as for this invention, it regards also the medical adhesion device which includes this kind of adhesion agent composition.本発明は、(i)(a)少なくとも1種のトリグリセリド、および/または(b)式R-CO2H(式中、RはC3~C30アルキル基である。)の少なくとも1種の脂肪酸を含む極性の油または脂肪と、(ii)少なくとも1種のホモポリマーおよび/またはコポリマーとを含む、皮膚に適用できる接着剤組成物に関する。本発明はまた、このような接着剤組成物を含む医用接着デバイスにも関する。