Sheikh `Abd al-Rahmân al-Barrâk
There is nothing wrong with using the name “Noor” to name a man or a woman. It is actually quite an optimistic name, because light is something beloved and cherished.
When someone is called “Noor” it becomes merely that persons name and does not imply anything else. When the word “Noor” is applied to Allah’s Messenger (peace be upon him) it is more than a name; it is also a descriptive term, because he came with light from his Lord.
Allah says: “There has come to you from Allah light and a clear book.” [Sûrah al-Mâ’idah: 15] The word “light” in this verse refers to Muhammad (peace be upon him). This in no way means that it is prohibited for someone else to use the name Noor. The most famous name of our beloved Prophet (peace be upon him) is the name “Muhammad” and a great many Muslims have this name.
Source: Islam Today