Assign Custom URL (Personal) - new Google Sites
How to add a custom URL using your own domain web address to a new Google Site made with a Gmail or personal Google Account
If you made your site with a G Suite account see Map Domain Web Address G Suite.
On this page - Custom URL
Assign a Custom URL (domain)
1. Verify domain ownership - Search Console
Go to the Google Search Console and Add property
In the Domain option (not URL Prefix) add the top-level domain, sometimes called the naked domain, without http:// or https:// prefixed to it (e.g. example.com) your site cannot use this address but you need to verify ownership of this entire domain.
Use the Instructions for: Any DNS Provider. Copy the TXT record that Google Search Console gives you as a value to add to your DNS records.
2. Add DNS Records with your domain provider
These are the DNS records you need to add to make the custom URL point to your personal Google Site:
Add a TXT record with a name/host/subdomain (whatever term your domain provider uses) of @ and the value/data/target use the text string copied from Google Search Console mentioned above
Add a CNAME record with a name/host/subdomain of www (or whatever subdomain you want to use) that points to ghs.googlehosted.com.
If your domain provider lets you redirect your naked domain to the subdomain address (e.g. make example.com redirect to www.example.com) then configure that
If you use Google Domains you can use its Synthetic records to get both your http:// and https:// top-level domain redirected as demonstrated in our full-screen video at 6:40.
Alternatively add an A record of @ (or your naked domain) that points to 188.8.131.52 (a free service from wwwizer.com)
Once the top-level domain is verified (may take hours depending on how quickly your domain name provider updates its public DNS records) you can then add a subdomain of your domain as a custom URL to your new Google Site: follow the steps below to make this custom URL web address mapping.
3. Assign the custom URL to a new Google Site
Use the Settings (looks like a cog/gear) near the Publish button
Choose the Custom URLs option
In the box labeled www.yourdomain.com enter your domain with www. prefixed to it, e.g. www.example.com
Close the Settings dialogue box.
Once assigned it takes Google a little time to configure everything for your site at the back-end and the site will appear at the custom URL (provided you have published the site).
4. Check the published site's sharing settings are set to public
If your site redirects to the sites.google.com URL or asks visitors to sign in then your published site's sharing settings are not set to public - here is how to make your new Google Site public to anyone on the internet:
Open your new Google Site for editing
Use the Share with others button (looks like a person with a + )
In the Links section use the Change... link
For the Published site link choose the Public option and use the Done button.
If you can't see the Public option for the Published site then the most likely scenario is you use G Suite and your G Suite admin has restricted public sharing - you need to talk to your G Suite admin on how to change this - see Set Drive users' sharing permissions.
If you do want your site to be private then the custom URL will always redirect to the sites.google.com URL - this is by design.
Extra Info - Custom URL - Google Sites
Make your new Google Site appear at your own domain (up to 5 custom URLs are allowed)
Traffic to your site is secured via SSL (https) without any further configuration
If you have published the site to only a specific group of people the custom URL will redirect to the sites.google.com URL (see step 4 above - Check the published site's sharing settings are set to public)
You must verify DOMAIN ownership (e.g. example.com) NOT your sites.google.com URL
You cannot use the top-level (naked) domain (e.g. example.com) as your domain provider will not allow you to make the root-level DNS record a CNAME record, so you must use a subdomain (e.g. www.example.com)
If you made your site with a G Suite account see Map Domain Web Address G Suite and you will need your G Suite admin to help.