Erro - max_user_connections

Constantemente acontece esse erro no meu site.

Alguém pode me ajudar a resolver?

Warning: mysql_connect() [function.mysql-connect]: User XXXXX already has more than 'max_user_connections' active connections in/home/storage/0/da/09/XXX/public_html/siteNew/admin/connection/connection.php on line 7

Fatal error: User XXX already has more than 'max_user_connections' active connections in /home/storage/0/da/09/XXX/public_html/siteNew/admin/connection/connection.php on line 7