It is haram to use credit cards that charges interest.
Sorry, I don't know if there are any Islamic Sharia compliant cards in U.S. If there are such cards, then use them.
But in case it is not available,and you are in a dire need of it, then it is permissible as long as the card holder pays the required balance before expiration of the grace period so as to avoid any interests charged because of delay in payment.