The use of internal reinforcement in pulse magnets has been proven to be an efficient way to obtain reliably very high magnetic fields. An optimum design should be such that both the reinforcement and the conductor reach their failure criteria simultaneously. This requires the mechanical properties of the reinforcement to match those of the conductor under all operating conditions. The decision criterions for the selection of the internal reinforcement materials for different conductors are presented and discussed. Several pulsed magnets with high strength conductors and internal reinforcement with high modulus materials have been designed, fabricated and tested. The performance of these magnets is presented and discussed.