But Geoffrey Theobald, cabinet member for the environment, said the move would bring this quarter of Hove into line with the rest of the city centre.
The decision to cut rubbish collections is part of a reorganisation across Brighton and Hove as the new waste transfer centre opens in Hollingdean.
Letters are expected to be dispatched to all households next week, informing people of the change.
Councillor Elgood said: “By any standards this is a huge change, which will have a massive impact on residents.
“They have only undertaken minimal consultation and no democratic input regarding the changes.
“It is not enough to just tell residents of these changes, they should have been asked about them directly and their views taken into account.
“For Brunswick we are seeing the loss of the twice weekly collections, down to one, in just a couple of weeks. The densely populated area needs more than just one collection a week or we will go back to the days of having rubbish dumped on the street.
“Many blocks do not have proper waste storage and there will be huge confusion over the changes.
“This is all about imposing just one option for waste collection on the city centre – in the longer term they want communal bins for all to save the council money.”
Councillor Theobald said: “My colleagues and I were surprised to learn that a few residents in the city received a higher standard of refuse service than the rest of us. There is no reason for this – all other households in the city centre receive a once-a-week service.
It is right households should expect the same level of service across the city.
“The waste transfer station in Hollingdean and the resulting refuse round changes will allow us to deal with this anomaly and ensure all residents get better value for money.”
