Sure, here are the steps:
- Go to “Settings” in the account menu.
- In the sidebar where it says “Blogs,” click on the blog you want to back up.
- You’ll see the page that lets you edit the appearance of the blog, etc. At the bottom, you should see a button that says “Export blog.” Click that.
- Tumblr will now take a shitload of time to create the backup (hours, or maybe even days if your blog has a ton of media posts) but eventually it’ll send you a link to download the backup. You don’t have to keep your browser open for that time, by the way.
- Once you’ve got the link, click it and download! It should give you a ZIP file with a folder of HTML files for the posts and a folder for the media files.