BIN collection crews are expected to catch up by the end of today, the council say.
Extra staff are helping to bring the service back to normal, and drivers have been revisiting streets that have been too dangerous in recent days.
The main priority is to make sure that grey bins are emptied first. After this, outstanding recycling bins will be collected.
A spokesperson said: "Residents are asked to leave their bins out and the crews will catch up.
"People are reminded that any Christmas wrapping paper or cards with foil or glitter can’t be recycled and should be placed in grey bins."
To find out more about waste collections, click here.