This Hadeeth was narrated from the Prophet Muhammad (SAWA) by two great companions; Salman and Abu Tharr and it was narrated from them by chain of authentic narrators mentioned in Sunni and Shia books. One of the Shia sources mentioned the chain of authentic narrators is Biharul Anwar, V. 5, .26.
It is narrated also by many leading Sunni scholars like:
1. Al- Haafidh Al-Kanji in Kifayat al-Taalib, P. 260 from Jabir Ibn Abdillah Al-Ansari.
2. Al-Khawarizmi al-Shaafi'ee in al-Manaaqib , P87.
3.Sibt Ibn al-Jawzi in Tathkirat al-Khawaas, P. 52.
4. Al-Thahabi in Meezan al-E'tidaal 2/235.
5. Ibn Hajar al-'Asqalaani in Lisaan al-Meezan
6. Al-Qondoozi al-Hanafi in Yanabee'§ al-Mawaddah , P.83 in the old edition.
7. Muhyiddin al-Tabari in Al-Riyadh al-Nadhirah 2/164.
and many others.
Hadeeth Al-Noor can be the famous Hadeeth narrated by Ibn Abbas from the Prophet Muhammad (SAWA) stating: The first who was created by Allah was the Noor of the Prophet Muhammad. This Hadeeth is narrated in many Sunni and Shia books.
There is another Hadeeth from the Prophet (SAWA) stating: My self and Ali were created from one Noor أنا وعلي ٬تم نور واحد.
Please specify which Hadeeth is meant in your question.
There are many different hadith that are considered hadith qudsi (that is, telling us directly what God says, but not as part of the Qur'anic revelation).
Some of these hadith are shared between Sunnis and Shi'is, and some are specifically Sunni, and some are specifically Shi'i.
As mentioned in the previous answer, each one can be evaluated individually with respect to its authenticity.
Hadeeth Qudsi is narrated in Sunni and Shia books. Our Ulama study the content and the chain of narrators before giving their opinion about the authenticity of it.
We have books on Hadeeth Qudsi compiled by Shia Ulama as well as Sunni Ulama.