New data from the Residential Tenancies Board (RTB) shows that 5,735 notices of termination were issued in the second quarter of 2023, when the no-fault evictions moratorium was being phased out.
This represents a rise of almost 1,000 termination notices compared to the first quarter of the year when 4,753 were issued.
The no-fault evictions moratorium was phased out from the start of April up to 18 June.
According to the latest figures form the RTB, the vast majority of landlords who issued a termination notice did so as they wanted to sell their property.
In total, 3,633 cited an intention to sell as the reason they were issuing the Notice of Termination.
The majority of notices relate to Dublin, where 2,298 were issued.
New legislation came into effect in July that requires landlords to send a copy of all Notices of Termination to the RTB on the same day that the notice was served on the tenant.

Speaking in Co Mayo today, Taoiseach Leo Varadkar said most of the termination notices do not result in people being evicted from their home.
"A lot of the notices to quit are invalid and the vast majority of people who are served with an eviction notice are able to find alternative accommodation or somewhere else to rent."
He said: "I think the difficulty with the temporary eviction ban was that it didn't reduce homelessness. It only deferred the problem so that it became worse later. And that's not a solution."
Mr Varadkar said the solution to the problem was further housing supply, the development of affordable cost rental, building more social housing and putting in place rent pressure zones.
Reacting to the figures, Sinn Féin's Housing spokesperson Eoin Ó Broin called for the no-fault eviction ban to be re-introduced until the numbers of people in emergency accommodation start to fall.
Additional reporting: Kate Egan, Teresa Mannion