AI-based image and video compression has made significant advances in the field, prompting various organizations to standardize this technology. This chapter provides an overview of these standards. It begins with a general introduction to the concept and importance of AI-based compression for images and video. Next, the current state of standardization efforts by major international organizations in AI-based image and video compression is briefly outlined. Following this, the development and progress of image compression standards established by the Institute of Electrical and Electronics Engineers (IEEE) are discussed. Concise updates on recent advances in the JPEG AI, MPEG VCM, and MPAI-EEV standards are provided, highlighting their evolution, which closely mirrors that of the IEEE AI standard. The latest developments in this area are also presented. Finally, the main results and implications discussed throughout the chapter are presented.