Navigate to the Consent Log panel in the Consent Studio dashboard. You can find the navigation item in the Domain dropdown menu in the top bar.

There, you will find the New Export button in the top right corner of the Consent Log.

Upon clicking this button, you will be asked for the date range of the consent log items that should be exported.

Clicking Submit will start the exporting process in the background. You can follow the progress of your export in the Consent Log Exports table, which will also display its status as it progresses in realtime.

When your download is ready, you will also be notified via the notification list in the dashboard's top bar (the bell icon).