Yes, a Muslim man can have up to four wives but subject to strict conditions. However, the overwhelming majority of Muslim men continue with one wife each. It is exceptional for a Muslim man to have more than one wife (allowed up to four) and this is subject to specific conditions and rules. The first of which is to have acceptance of former wife (or wives) and second is to treat them equally without any discrimination. For example, assume that one is married to a woman that proved she can’t give birth to a child and the man likes to have a child, then in this case and per approval of his wife he can marry a second wife but on condition to be fair between the two wives and treat them equally in all aspects of family daily life. Another case that a widow that can’t raise up her children on her own, in this case a married man may offer to marry her and help her in raising up her children but again subject to approval of her former wife and subject to treating both wives equally. In conclusion, it is a license for a Muslim man to marry more than one wife; up to four; but limited to certain and strict conditions.