This is a real puzzle since W.S. Hudson were corn merchants and forage contractors at 3 Sussex Street and Elliott Bros builders had premises in Circus Street at one time. It is not looking east up Sussex Street as the street is too short and level and not west across Victoria Gardens. It seems rather short for Circus Street - the building in the foreground on the right with the hoardings looks very much like the corner to me - and this isn't what the corner of Sussex Street and Circus Street was like (the Grand Parade Chapel backed onto it).... see Brighton and Hove in Pictures. And if it was looking south from the Sussex Street end it would mean the houses on the right backed onto the grand houses in Grand Parade and I doubt any did.  At the end of the street I would have expected to see the rather imposing School of Art Building, not a row of garages. It could be Circus Street looking North with the entrance to Circus Court on the right towards the far end. But other pictures of Circus Street show it to be much wider than this street - at the north end anyway. My guess is that it is Sussex Street Mews off Sussex Street and opposite to the end of Circus Street. It could be Sussex Court but I'd have expected to see the rows of houses up the hill behind it.

Possibly Orange Row, off Tichbourne Street / North Road?

W.T.Elliott were estate agents located at 50 Grand Parade, Brighton, Elliott Bros has offfices at the rear of 50 Grand Parade. The street in the picture at the time it was taken was known as 3 Sussex Steet, now known as 3 Morley Street (north end of Circus Street) the buildings end of the street were occupied by Elliott Bros. The garages were used as timber/paint stores etc. whilst the upper areas were a joiners workshop. Elliott Bros occupied these premises until they ceased trading in the late 60s. The premises have been altered into offices and now have a pitched roof.