A paste-like adhesive composition of the present invention contains metal particles (A) and a thermally polymerizable compound (B), in which the metal particles (A) form a particle coupling structure by causing sintering through a thermal treatment; when dynamic viscoelasticity of the composition is measured under a condition of a measurement frequency of 1 Hz, within a temperature region of 140° C. to 180° C., the composition has a temperature width of equal to or larger than 10° C. in which a shear modulus of elasticity is equal to or higher than 5,000 Pa and equal to or lower than 100,000 Pa; and an acetone insoluble fraction of a sample, which is obtained by removing the metal particles (A) and then heating the composition under conditions of 180° C. and 2 hours, is equal to or lower than 5% by weight.