There is provided a pressure-sensitive adhesive composition for optical films, which is excellent in heat resistance, weathering resistance and bleed resistance, which has an excellent balance of pressure-sensitive adhesion properties, such as adhesive strength, cohesive force and tack, the tack of which can be controlled, which is excellent in initial reworkability when it is used for applying an optical film to an adherend or applying a protective film to an optical film, and which further exhibits excellent adhesive durability by virtue of rise of adhesive strength when such a film as above in the applied state is kept over a long period of time after application or especially when the film in the applied state is exposed to high temperatures or moist heat. A pressure-sensitive adhesive composition containing a specific acrylic diblock copolymer (I) and a specific acrylic triblock copolymer (II) in a specific proportion and a pressure-sensitive adhesive for optical films using the pressure-sensitive adhesive composition as a base are produced.