The surname has multiple origins including English, Irish (in Ulster), Scottish, German, French, Norwegian, Ashkenazi Jewish, and Jewish American.
The given name Norman is mostly of English origin, though in some cases it can be an Anglicised form of a Scottish Gaelic personal name.
In Norway, the demonym of its people in Norwegian are Nordmann (pronounce Normann), and has the exactly same meaning as the name origin of the Normans.
These include: Normanna, Normina, Norma, Nora, and Mona.
The surname is most common in Dublin, Belfast and Cork.