Aaron Sharlott has been waiting 12 months for Bromford housing association to replace his front door in Hemans Road.
He told The Gusher: "We have been waiting for it to be fixed since it was kicked in.
"There is a massive gap in the door letting in all the cold air and we have an 18-month-old daughter who has epilepsy. We have our heating up full and still need to wrap blankets around us."
Aaron went on: "The door will not open from the outside or the inside unless it's really forced open. The handle on the outside has snapped clean off in my hand because of the force I have to use. This has now become a health and safety issue and a fire risk because of the door not opening."
He said Bromford representatives have visited the house more than once to measure up the door.
"Then nothing happens," added Aaron.
"Mine and my partner's mental health has been massively affected by this. My partner is scared to be left in the house on her own longer than five minutes."
The family have been staying with family because the house is so cold.
"Our children from previous relationships don't like staying here because of the door and how cold it is," added the dad.
"It's making us ill."
Natalie Robertson, Bromford’s associate director of localities, said the property was secured after the incident.
She said: “Following an incident of vandalism at Hemans Road in December 2020, we immediately secured the property and put a temporary fix in place that we understood Mr Sharlott was happy with.
“Earlier this month, we confirmed with the customer that we would be replacing the front door early in the New Year. Unfortunately, it has taken longer than anticipated to reach this stage and we do apologise for any frustration caused by this delay.”
The family say nobody has ever been to temporarily fix the door.