Having puffy nipples as a man is not usually a medical concern, but some people dislike the appearance. In some cases, puffy nipples are the result of a condition called gynecomastia. Gynecomastia is a benign growth of male breast glandular tissue. Depending on the cause, there may be some steps that people can take to reduce the puffiness, such as improving their diet and exercising more. In other cases, surgery may be an option. As puffy nipples are often a cosmetic concern, some people only require reassurance and counseling.