The service, which records changes in ownership including mortgages and leases, is run by Land and Property Services.
The Department for Finance says it is working with an IT provider to make some services available “in the next few weeks and will enable active cases to be progressed”.
Brian McMonagle was due to move house at the end of March, however, the registry closure meant his bank wouldn’t release its funds.
Mr McMonagle said he isn’t sure what will happen next and he is worried he will lose his mortgage entirely and possibly his deposit.
“We were expecting the bank to release the money but that didn’t happen because to register some information or deeds with Land Registry,” Brian told BBC’s Radio Ulster.
“But because that was closed for three weeks we couldn’t do that and the bank would not release the money.
“So that left us really between a rock and a hard place.
“We have just moved out of our rented accommodation so we had no home to go back to.
“We hadn’t got the keys to our new place as we could not complete and we had no new home to go.
“So basically what happened is that we have split up the family and I have had to move in with my parents and my partner Kerry has had to move in with her parents.
“I have two children from a previous relationship and Kerry has two children from a previous relationship and we have now been split up for the past few week.
“My understanding at the moment is that once Land Registry reopens that house will still be mine.
“But our concern is that the longer this goes on the mortgage may be withdrawn and the bank will divert the funds to something else.
“We are really anxious at the moment.
“I have contacted my local councillors, the MLA, the Department for Finance, I’ve tweeted Conor Murphy, I’ve tweeted NI Direct and the Law Society.
“We did have some good news this morning where the bank is trying to contact our solicitor to see if we can come to some sort of agreement.
“So I am hoping that that will prove positive.
“Stressful would be an understatement to the way we are feeling at the moment. We have been saving for the past five years to make this happen.
“So it feels like the rug has been pulled out from under us,” added Brian.
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