By default, WordPress allows comments in a page and a post. If you want to disable comments, there are 2 ways to do so, global settings and individual settings.
From WordPress Dashboard, navigate to Settings, Discussions, and uncheck “Allow people to post comments on new articles” in Default article settings. This settings can be overridden in each post.
Individual Page Settings
From WordPress Dashboard, go to Pages. You will see the list of your pages shown. Move the mouse over the page that you wish to edit. You will see the following options shown under the page: Edit, Quick Edit, Trash and View option. Click “Quick Edit”.
Uncheck the “Allow Comments” option, update the page.
If you preview your page, the comment box should be now removed.
Individual Post Settings
To remove a comment box from a Post, repeat the same operations above for each page that you would like to disable comments.
Recommended Further readings
You might also like to check out the following tutorials.