It is well known that cutting magnetic field lines leads to the generation of an induced current and induced electromotive force in a closed circuit coil, called as electromagnetic induction. In this paper, we found that rotating a closed circuit coil in a changing electric or electrostatic field could also generate an induced current and induced electromotive force in the coil without any external magnets..Here we call it Electra-electric induction (EEI). This is a completely new discovery, and will be of great significance both in theory and in applications. We deduced that both Maxwell’s displacement current and the Electra-electric induced current we found are generated by the changing electric field. They are two forms of changing electric field. One exists in space. The other exists and flows in the conductor. Maxwell’s displacement current is collected by a coil and flows in a conductor, that is induced current. In addition, one can expect that the extremely strong electrostatic field near the high-voltage wire, as well as the strong electromagnetic field generated by the radiation of nuclear reactor or nuclear waste dumping, can be collected by the rotated coil driven by the windmill which results in a continuous induced current flow generated. This work not only provides new thinking on the physical meaning of the last two terms of Maxwell’s equations, but also opens up new possibilities for non-electromagnetic induction and provides a new idea for the generation and transmission mode of power energy. Just like the invention of electromagnetic induction by Faraday in 1831, it is a milestone progression.