Newspapers aren't always primary sources. "Primary" and "secondary" relate to the content, not the format.
Example:
For secondary sources, use U.S. History (Gale in Context) and JSTOR and Artstor from the databases shown above. Once you search your topic, look at the list of information formats in the gray box below the topic's overview.
Anything that isn't listed as a primary source will be a secondary source, such as
The following websites contain both primary and secondary sources.