The pub, an iconic live music venue, was shut in 2013 after a water pipe burst in the area, badly damaging the site.
Fuller’s managing director Jonathon Swaine said: “The Half Moon has a history and heritage that deserves to be recognised and respected – and I truly believe we have succeeded in doing that.
“Herne Hill has a thriving and vocal community and the Half Moon has, in the past, been at its hub. I hope that by bringing her back to glory, they will once again feel the pub can resume its place at the heart of that.
“It is, without doubt, one of the most beautiful pubs in the Fuller’s estate.”