The genes that make me unique come from my parents and grandparents, and great-grandparents, and so on. I don't think a company should be allowed to patent them.
The US Supreme Court agrees. After a four-year lawsuit, it ruled that naturally occurring DNA sequences cannot be patented. I think the ruling's a good landmark. Companies can still patent techniques and treatments linked to DNA information and altered genes if they do something new. But they can't just read my DNA and put a stamp of ownership on it!