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You have a MySQL Database, otherwise Presatashop does not function. Your hosting provider for  your site must have the MySQL main user data for you and probably something like PhPMyAdmin access to your database. You the can reset de password for the user that has access to the Prestashop database.

Bij default this are the default DB Settings parameters.php:

<?php return array (
  'parameters' => 
  array (
    'database_host' => '127.0.0.1',
    'database_port' => '',
    'database_name' => 'prestashop',
    'database_user' => '???',
    'database_password' => '???',
    'database_prefix' => 'ps_',
    'database_engine' => 'InnoDB',   
  ),
);

the datbase_user and password you entered on install and were probably provided to you by your hosting provider.