The emergence of the CRISPR/Cas system of antiviral adaptive immunity in bacteria as a facile system for gene editing in mammalian cells may well lead to gene editing becoming a novel treatment for a range of human diseases, especially those caused by deleterious germline mutations. Another potential target for gene editing are DNA viruses that cause chronic pathogenic diseases that cannot be cured by using currently available drugs. We review the current state of this field and discuss the potential advantages and problems with using a gene editing approach as a treatment for diseases caused by DNA viruses.