English Meaning: The name Drake is an English baby name. In English the meaning of the name Drake is: Dragon. Greek Meaning: The name Drake is a Greek baby name. In Greek the meaning of the name Drake is: Dragon.American Meaning: The name Drake is an American baby name. In American the meaning of the name Drake is: Dragon.he name Drake is an English baby name. In English the meaning of the name Drake is: Dragon. Greek Meaning: The name Drake is a Greek baby name.