How To Hosting Google Sites on own Domain

Create your website at Google Sites - sites.google.com

When finished design, Publish first. The website is now working on sites.google.com.

To connect this website with your domain name which you purchased from a Domain Registrar, do the following:
On the webpage on sites.google.com/, click on the Settings (Gear) icon
On the Settings dialog, click Custom Domains, then click Connect Domain.

Type in the domain that you own already.
It will check the validity of the domain. If ok, proceed to next step.

If you see this message "This domain is not verified. Please verify your ownership", then click on the link, otherwise skip this section.

This section will prove to Google you own the domain, by creating an extra TXT/CNAME record.
A new dialog will show two options: Domain or URL Prefix
Select the Domain option.

On the dialog: Verify domain ownership via DNS record.
1. Select record type. TXT or CNAME. I choose CNAME because my domain registrar only has this option.
2. Sign in to your domain registrar (e.g. CrazyDomains)
3. Copy the CNAME record below into the DNS configuration. 
i) CName Label/Host: asuiasiaafa
ii)CName Destination / Target: aoanofzdof.googlehosted.com
These two values (masked above) will be given by Google.
4.Press verify below.

Reminder: steps  2 and 3 must be performed on the Domain Registrars page, before coming back here to click Verify. By placing the above information on your Domain Registrar, this shows you have control of the domain name, hence proving to Google that you own that domain.

Follow the instructions below to complete the procedure.

Google Sites will show these instructions:
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Connect to third-party domain registrar
- In a separate tab, sign in to your domain registrar’s website
- Go to your DNS settings
- Create a new CNAME entry
- Under CNAME value or alias, enter www
- In CNAME destination, enter ghs.googlehosted.com
- Note: Your domain registrar might require a full stop at the end
- Save changes
- Come back to this tab and click Done
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The next section shows the steps for CrazyDomains as the domain registrar. Others may be similar.