Log in to your account on the newspaper's website if you have one. Look for Delivery Preferences or a similar section. It should provide details on how to cancel or change your subscription. Call or email the newspaper's customer service department and ask to close your account. Look for the contact information on the newspaper's website or in the paper. Tell the newspaper's customer service department you want to temporarily stop delivery if you are going on vacation. If you want the newspapers you will miss, some newspapers will save them for you. Tell the customer service department to cancel your subscription if you want to permanently stop delivery.