You can use the core Joomla Login Module to allow users to log into your Joomla site, but this Module also contains a "Create an account" link (as shown below) that will allow you new users to register at your site. This article explains how to disable this feature and disallow new users from creating an account.
To begin, log into the administration area (the back end) of your Joomla site, and go to the User Manager.
Click on the "Options" button in the toolbar.
Under the "Component" tab, find the "Allow User Registration" option, and turn this off by selecting "No". There are many other options here for configuring your user accounts and this area is worth exploring. Be sure to save your work.
Return to the front end of the site, refresh the page, and the "Create an account" link will be removed. Current users will still be able to log into the account.
You may have also have created a core Joomla Registration Form menu item. If you have, and you disallow new user registrations, the menu item won't disappear, but it will redirect users to the login form instead of the registration form.
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