Figures released by the Residential Tenancies Board (RTB) show a significant increase in the number of landlords issuing notices to quit to their tenants last year.
A total of 4,741 notices of termination were issued to tenants in July, August and September last year - up from 1,666 during the previous three month period.
Data on termination notices issued to tenants in the fourth quarter of last year will be published later in the month.
Social Democrats housing spokesperson Cian O'Callaghan said the figures were "extremely worrying".
"It shows more and more families are being evicted from the private rental sector which is very worrying for renters," Mr O'Callaghan said.
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"The figures also show that there will be more than 3,500 notices to quit kicking in over the next three months when the eviction ban lifts," he added.
The data also shows the main reason for issuing notice of terminations is the landlord intends selling the rental property, with 60.01% citing this reason.
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The Labour leader said the new RTB figures reveal the "scale of the tsunami" of evictions that could happen over the coming months.
Ivana Bacik, who is also the party's housing spokesperson, reiterated her call for the Government to reverse its decision not to extend the eviction ban.
"It illustrates why the ban on evictions should have been extended," Ms Bacik said.
In a statement, Executive Director at the Simon Communities of Ireland Wayne Stanley said the figures are "shocking" but they give "an accurate reflection on what is happening in our broken housing system"
"The data reflects the scale of the pressure on individuals and families in the private rental market and they also reflect the scale of protection the moratorium is providing," he added.
Additional reporting: Tommy Meskill