Should papers presented at local conferences be put in list of publications?
These conference proceedings were not published in any journal.


Were they published at all?  If there were no proceedings, then they don't count as publications, because nothing was actually published.  (You could still list them as talks rather than publications.)  If there were official proceedings in which other people can read and cite the paper (not just an abstract) even after the conference is over, then it's a form of publication, regardless of whether the proceedings appeared in a journal or as a stand-alone volume.

There may be other considerations you should take into account when including this material in your CV.  For example, were the papers peer reviewed?  Does your field consider them to be archival publications?  However, these are more of an issue of how meaningful the publications are, rather than whether they count as publications in the first place.