We synthesized layered magnetic elastomers with polymer films and investigated the magnetoelastic behavior using dynamic viscoelastic measurements. The storage modulus at 0 mT was nearly independent of the sheets of films, while the storage modulus at 500 mT dramatically increased. The storage modulus at 500 mT for magnetic elastomers with 4 films was 2.1 MPa, which was 1.3 MPa higher than that of magnetic elastomers without layered structure. It can be considered that the stress transfer among imperfect short chains of magnetic particles is enhanced by inserting polymer films.