As the rapid development of integrated magnetic and magnetoelectric, numerous novel devices including high performance on-chip transformers, inductors, filters, antennas, and sensors with unique advantages in power efficiency, size and tunability, etc. have been demonstrated. In this review, an overview of the development of magnetism and magnetoelectric will be firstly given. The conceptual illustration and materials used in integrated magnetoelectric will then be presented. Selections of on-chip devices from literatures will be shown to exemplify the integrated magnetic and magnetoelectric applications. Finally, the prospect and the direction of the future research will be discussed in the conclusion.INDEX TERMS Magnetic, magnetoelectric, integrated devices, high frequency, sensing.This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination.