There are disclosed an adhesive composition comprising: (a) an epoxy resin, (b) a curing agent and (c) a polymer compound with a weight average molecular weight of 100,000 or more, wherein a ratio of A/B exceeds 1 and is 10 or less, where A represents the total weight of (a) the epoxy resin and (b) the curing agent and B represents a weight of (c) the polymer compound; an adhesive composition, whose compositions are separated into a sea phase and an island phase, when viewed at a section in a cured state, and a ratio X/Y is in a range of 0.1 to 1.0, where X is an area of the sea phase and Y is an area of the island phase; a process for producing said adhesive composition; an adhesive film wherein said adhesive composition is formed into a film form; an adhesive film for bonding a semiconductor chip and a wiring board for mounting a semiconductor or for bonding semiconductor chips themselves, wherein the adhesive film can perform bonding by heat-pressing with a pressure of 0.01 to 0.5 MPa; a wiring board for mounting a semiconductor equipped with said adhesive film on a surface for mounting a semiconductor chip; and a semiconductor device using said adhesive film or said wiring board for mounting a semiconductor.