That looks like the King and Queen in the background across the other side of Grand Parade so my guess is that this is Sussex Street taken from the junction with Ivory Place (outside the Royal Yacht Pub). If so the roadway you can see leading off right is Sussex Street Mews. But its only a guess. It was all demolished in the 1930s before my time.

Er... ignore last comment. If its the King and Queen in the background this has to be the bottom of Carlton Hill and the turning on the right would be Circus Street or Carlton Court I thought at first it was Sussex Street but a picture on Brighton and Hove in Pictures shows a similar shot of the bottom of Sussex Street (a later one in 1940s after bomb hit the school clinic) and in the background you can see the old Astoria.

Definitely looks like the King and Queen (an old haunt of mine in the early 70's) in the background, which would make it the bottom of Carlton Hill. Circus Street School stood on the bottom right hand side of Carlton Hill before the area was demolished in the mid 1930's and replaced with the Municipal Market.

The current King and Queen buliding (almost definitely shown in the background) was built in 1932. The Municipal Market was completed in 1937, which dates the photo somewhere between these 2 dates!

Yes, taken from Carlton Hill, looking west at the King and Queen, taken roughly from the junction of Carlton Row or Woburn Place before the fruit and veg market was built in Circus St. I think Hectors House public house is still the same building though.