To export high-quality video in Adobe Premiere Pro, go to the File menu and select Export, then choose Media. In the export settings window, select your desired format, such as H.264 for high-quality options. Adjust the output settings, ensuring that the bitrate settings are optimized for quality—higher bitrates result in better quality. You can also choose a preset that suits your needs. Finally, specify the output location and click Export to render your video.