Hi, thank you for your question. Please confirm what kind of tenancy you have?
Are/were you married to him?
Thank you. You will need to confirm what kind of tenancy you have. Usually if it is a council tenancy that you have had for many years it will likely be an assured or secure tenancy.
Unfortunately if he does not agree to it being transferred to your sole name you would need to apply to court for a transfer of tenancy under form D50B and a £155 court fee to your local family court.
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If you are representing yourself then this would be your only fee. If you require legal representation legal fees will be on top.