everyone dreams, you might be just having trouble remembering since we forget 95% of our dream within the first couple minutes of waking up. keep a journal or a tape recorder [cell phone if it has a voice record app] by your bed, once you wake up say/write/sketch whatever you remember, even if it's just 'red dog'. slowly, you should begin to remember more. other things you could try is meditating before bed, recording the food you eat because certain foods can effect your dreams, using aromatherapy, even a fan can effect your sleep enough to alter your dreaming.
if you really do not dream, i suggest you go to a doctor and take some sleep tests or MRI/CAT-scan because no non-REM sleep [where we are dreaming] could be the result of an illness. a lack of vitamins could account for this abnormality as well as snoring. i can't remember why, but snoring [which could result in sleep apnea] effects your sleeping and your body doesn't not relax and go through the sleep cycles which can make you very sick.
chances are, you do dream, but you don't remember them. try for a month or two the different techniques used to remember dreams [and make sure you record everything, even if you felt no effect, keep a record] if after two months you don't remember anything, not even once, talk to a doctor [specifically one who specializes in sleep and psychoanalysis]