Rents in Co Cavan increased by close to 19% in the year to March, with an average price of €970.
That's according to property website Daft.ie, which also found that rents increased by almost 13% over the same period in Co Monaghan, to €960.
The biggest increase was in Leitrim, at nearly 25 per cent.
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Daft.ie has also found that rents are increasing at the highest rate since 2016, and Ronan Lyons, author of the report, says rental prices are growing very sharply outside the capital.