Set up a Twitter profile that is focused on any particular subject other than news. Build it , grow it, and in time you can start posting tweets that invite your followers to come see your news site.
Be sure to make your tweets inviting because of your offer of remarkable news stories.
Don’t just tweet that you have a news site. Tweet that you have something Remarkable to read about. And make sure that it is “actually” and “truly” remarkable news.
As time passes and your Twitter followers become familiar with your tag and tweets about remarkable news stories you will begin to grow a following of readers. Some will tell their friends and so on and so forth.
Be sure EACH DAY to respond too the Direct Messages and New Followers that are in your e-mail in box.
This is one sure way to get more traffic to your news site.