The restaurant will move to a 'new home' within the Nobu Hotel London Portman Square, which opens this summer.
All kitchen and front of house team members have been given the opportunity to relocate to the new site, and offered roles at other Nobu sites in the interim.
Nobu says in a statement: "This is an exciting venture for the global brand, and we are delighted to be taking our fantastic Berkeley [Street] team with us on the next phase of the Nobu journey as we open in Marylebone."
News of the Berkeley Street site's closure was first reported by Property Week, which said the company has agreed a lease surrender with the landlord.
The move will leave Nobu with just one standalone restaurant in London, on nearby Old Park Lane, as well as the Nobu hotel in Shoreditch.
Both Mayfair restaurants lost their Michelin stars in the 2015 edition of the guide and have yet to regain them.
The first Nobu restaurant was opened in New York in 1994 by chef Nobu Matsuhisa with the backing of actor Robert De Niro and film producer Meir Teper. The company now operates more than 40 restaurants and hotels worldwide.
Speaking to BigHospitality in 2018 Matsuhisa said opening in Shoreditch had been a "challenge", and that trade was steadier in Mayfair.