Take your old newspaper and begin cutting out words or sentences that you like. It doesn't matter what they are about. Try to use several different articles in the paper for this, so that you get a good range of words for your poem.
Arrange the words in any order you please, trying to make short sentences out of the words that you have. You can also add your own abstract words at this point.
Once you have created something that you like, make sure that you haven't tried to make it make sense. Remember to think about the feeling, sounds and impact that you wish to convey to the reader or listener. Here is an example:
Bountiful birds ran tragically on bypasses
Conical suns let the elephants by
Writers dipped into a hillside
Merriment abounded on the psychotic stars
Try out another technique such as making a "sound poem," by just making sounds out loud, repeating them, changing them and then putting them altogether in a "performance." A twist on this technique is using words from a made up language, nonsense words or even saying words backwards.