There are two possible meanings for this name - if you are female it is likely that your name is anh Old French version which means "sturdy". This version can also apply to males, too.
Drew can also stem from the name Andrew in males which means that your name could reflect the Greek meaning of Andrew which is "courageous".
Drew is a popular surname which can suit both the girl and the boy. The name is pronounced as "Droo." The name has a Welsh origin, meaning "wise." Drew, in fact, is a short form of another hugely popular name "Andrew." Drew grew as an independent name since the 60s.
Drew has two variant forms-Dru (the French version) and Drue. Nancy Drew was the name of the famous fictitious girl detective written by Carolyn Keene. Drew was also a popular surname for a family of American actors John Drew, his wife's Louisa Drew and their eldest son John Drew. Drew Barrymore, the holder of "Drew" as a first name is a popular baby-faced celebrity with super-hits like E.T, Charlie's angels and Poison Ivy to her credit.