You can't unlock the Security & Privacy pane if the admin account you're using has a blank password. Use these steps to set a password for the administrator account you want to use:
- From the Apple menu, choose System Preferences.
- Choose View > Users & Groups.
- Select the admin user who currently has a blank password from the list of users in the preference pane.
- Click the Change Password button.

- Leave the Old Password field blank.
- Enter a password in the New Password and Verify fields.
- Enter a password hint.
- Click Change.
You should now be able to use this admin account to unlock the Security & Privacy pane.