Coton Manor flats, off Berwick Road were hit by severe flooding, with damage to properties on the ground floor of the building and cars in the car park.
The building near West Mid Showground was also hit last year.
Some residents have only been back in their homes in the past couple of months due to repairs needed from last year's flooding.
Dennis Clark, who has only lived in his ground-floor property for two years, has been flooded twice since he moved in.
The 75-year-old, who is now staying with relatives, said it had been a chaotic few days.
He said: "All the 14 ground-floor flats are flooded again, and they were flooded 11 months ago.
"No one is in there now, they have all gone to other places."
Mr Clark said the latest flood had caused considerable damage.
He said: "I only had the carpet fitted in September and now it has got to be ripped up and thrown away.
"Some of the people are not back in their flats from the last floods yet.
"In the hall they were putting the new floor down last week and it has all been thrown out again today."
Mr Clark said that the authorities need to look at what they can do to protect the building with flood defences.
He said: "Since last year lots of people have been talking but nothing happens. I know people will feel terrible about it. I was talking to a guy who only moved in two weeks ago who was in tears.
"There's just nothing you can do. Once you get the telephone call you know it is coming."
He added: "Even when I had the call I said that is not what the flood warning says, but they said they had been told it would flood. The measurements do not always seem to be accurate. You would think they would have some sort of better idea. They said they would do all these things and 11 months on and nothing has happened."