A radiation curing silicone rubber composition is provided. This composition includes as a base polymer either a liquid polysiloxane with a (meth)acryloyl group and a hydrosilyl group, or a combination of a liquid polysiloxane with at least two (meth)acryloyl groups and a liquid polysiloxane with a hydrosilyl group. This composition is formed into a film, and then subjected to radiation curing, thereby producing an adhesive silicone rubber elastomer film with low elasticity, adequate heat resistance, powerful adhesion and good workability. This film is useful for bonding electronic components using methods such as die bonding.