Get a domain at co.cc or similar sites but if you are looking for a free TLD (top-level domain) like .com or .net then you may have to find sites that require you to complete surveys, review products or click links to earn a TLD.
Otherwise try finding a webhost that offers free domain names included with a package.

It will be millions of domain names that begin with the word free.

You can register a free domain name by going to any one of a number of websites that provide registration for free domain names. They will guide you through the process of registering your domain name.

You can use: www.dot.tk . Here you get a domain like: www.mywebsite.tk for free.

Please go and register profreehost

Then proceed with the Registration by clicking REGISTER NOW

Once you login

Click on the tab CREATE NEW ACCOUNT

Create new website screen appears in that you have to enter an attractive name for your website

Domain availability is shown below then click checkmark and enter inside.

Website will be created in few minutes with details such as username and date of creation.

Then click on Manage

You can view the control panel and manage builders

The above shown details are found

click onto

1.Overview

2.FTP

3.DNS

4.Password

5.Close (To close the account)

Then click on the control panel to proceed you will receive a notification screen press I Approve

Thanks, the panel will load notification appears and control panel gets loaded