APA guidelines for newspapers found online say that you should list the URL of the newspaper's homepage, even if you found it via a library database. See an example below.
Check out the video on using American's Newspapers or let me know if you need help finding newspaper articles.
When to use newspaper articles
When researching an event or something related to your topic that happened very recently.
When you want to find out current events related to an ongoing topic.
Look for historic newspaper articles when you want to know how a topic was discussed at another point in time.
Example APA citation
Hunt, S. (2011, December 5). Deal sought for road repair by drillers. The Columbus Dispatch. Retrieved from http://dispatch.com.