If you want to automatically log your members into the site immediately after they complete the registration, then you can enable the Enable Auto Login After Registration feature. This is an optional feature of the plugin.
Note: When you enable this feature, it will invalidate any after registration redirect that you may have in place.
This occurs because activating this feature ensures members are automatically logged in right after registration, which then initiates the post-login redirection process. To manage where users are directed after this automatic login, you can configure the post-login redirection feature accordingly.
Enabling Auto Login After Registration
Do the following to configure auto login after registration:
Step 1) Go to the Advanced Settings interface of the plugin:
Simple Membership -> Settings -> Advanced Settings
Step 2) Check the Enable Auto Login After Registration field.

Step 3) Save the settings.
Now, when the members complete the registration by submitting the registration form, they will get logged into the site automatically then the after login redirection will take place (if you have configured after login redirection).