The name Nana is a Hebrew baby name. In Hebrew the meaning of the name Nana is: Grace. American Meaning: The name Nana is an American baby name. In American the meaning of the name Nana is: Grace.Hawaiian Meaning: The name Nana is a Hawaiian baby name. In Hawaiian the meaning of the name Nana is: Name of a spring month; name of a star.Spanish Meaning: The name Nana is a Spanish baby name. In Spanish the meaning of the name Nana is: grace; favor.n Hawaiian the meaning of the name Nana is: Name of a spring month; name of a star. Spanish Meaning: The name Nana is a Spanish baby name. In Spanish the meaning of the name Nana is: grace; favor.