Moses had one or two wives, depending on how the Biblical text is interpreted. The only wife of Moses known by name is Zipporah. In Biblical text, however, Moses is also castigated by his brother and sister for marrying a Cushite, which is a person from modern day Ethiopia.
Those who support the one wife theory believe Zipporah and the Cushite woman are one in the same. The primary problem with this theory is that ZIpporah is also identified in Biblical text as a Midianite, which is a person from the Arabian Peninsula. Some Biblical experts choose to explain this dilemma by suggesting that the term "Cushite" was applied to Zipporah as a slur. Those who support the two wife theory believe Zipporah and the Cushite woman to be two separate people.