Honeydew melon is another name for sweet melons. The deliciousness of the fruit inspired the name. Green melon is another term for sweet melon, which comes from the color of its outer skin. The sweet melon is a member of the muskmelon family. They originate from the Cucumis family of gourds. Casaba, winter, Crenshaw, and other mixed melons are also members of this family.