Follow the steps described in Improve your English Listening.
Some good news shows with easy language for English learners are ...
the BBC Words in the News (UK), the Voice of America (US) and Learning from News from the Bangkok post (with audio). They have online and downloadable videos or audio, scripts, and Voice of America even has English subtitles.
More advanced learners can watch or download regular news from ABC Radio (AU), AlJazeera (QA), BBC (UK) and CNN (US).