If you want to disable all future comments, you should probably do this first:
- From the admin dashboard, click Settings → Discussion.
- Uncheck the box labeled Allow people to post comments on new articles.
- Click the Save Settings button at the very bottom.
Now you have to go and remove the comment sections from your existing posts:
- From the admin dashboard, click Posts → All posts.
- You will see a list of all of your existing posts. Or at least the first 25 if you have written more than 25 posts.
- Towards the top, you’ll see a checkbox next to the word Title. Click that checkbox and that will automatically select all of the posts on that page.
- On the Bulk Actions drop down list, select Edit, then click the Apply button next to it.
- A section will open up, labeled BULK EDIT. For the Comments drop down, select Do not allow.
- Click the Update button.
Your comments should now be disabled for all of the posts listed on that page. If you have more pages of posts, repeat steps 3-6 for each page of posts.