Abstract: New acceleration characteristics of the circular accelerators employing pulse induction modules instead of radio frequency cavities are introduced. Combining the advantages of radio-frequency circular accelerator and linear induction accelerator, a new acceleration concept has been proposed by the Japans high energy accelerator research organization (KEK), and many researches and experiments have been carried out in recent years. This paper describes the details of such works, discusses the advantages and disadvantages of the pulse induction module when it is used in a circular accelerator, and advances some improvement proposals to the pulse induction modules, arming at solving the beam loss problems in the induction synchrotron experiments.