So far, Sony hasn't announced any VR support for PlayStation 5, but PS VR it is supported thanks to the backwards compatibility. But when it was revealed recently that neither Hitman 3 and No Man's Sky will support VR for PlayStation 5 - but will do it for PlayStation 4 - there was some upset reactions.
UploadVR has now reached out to Sony regarding this, and has gotten an explanation from a representative from the company who explains that PS VR "operates as a backward compatible device" and also added that they "have not announced PS5 titles for PS VR". Most people have assumed that a follow up to PS VR would be released to PlayStation 5, but no such thing, or games for the old headset for that matter, have so far been revealed.