New figures from property website Daft.ie show that the average listed rent rose by 1.2% in the third quarter of 2020, with bigger increases seen around the country than in Dublin.
The increase offsets a fall of 1.4% in the second quarter, following the outbreak of Covid-19.
Daft.ie said the average monthly rent nationwide in the third quarter of the year stood at €1,419.
But there was a noticeable difference in trends in Dublin and elsewhere in the country.
Dublin rents were largely stable between June and September, rising just 0.2%. They are 0.8% below the same time in 2019.
However, outside of Dublin, rents rose by 2.9% in the third quarter and are now 3.3% higher than a year ago.
Daft.ie said that tents in Cork, Galway and Waterford cities are about 5% higher than a year ago, while rents in Limerick are 3.4% higher on an annual basis.
Increases in Leinster (excluding Dublin) varied from 4% higher in Wexford to 7% in Carlow.
Daft.ie also said rents are higher than a year previously in Munster (up 2.8%) but are 1.5% lower in Connacht-Ulster.
Today's report also shows that the number of properties available to buy on the market nationwide was almost 4,200 on November 1, down 17% on the same time a year ago.
It noted that as with prices, there is a difference between Dublin and the rest of the country.
In Dublin, the stock available to rent is almost twice the level seen a year ago (2,700 compared to 1,400). But outside of Dublin, rental stock is down one third and, at just 1,435 on November 1, was at its lowest level ever in a series that dates back 15 years to the start of 2006.
Ronan Lyons, economist at Trinity College Dublin and author of today's report, said the figures highlight the importance of supply in bringing about more affordable rents.
"In Dublin, supply has increased this year, largely due to the impact of Covid-19, and rents are down slightly. Elsewhere in the country, rental shortages continue to worsen and rents continue to rise to all-time highs," Ronan Lyons said.
"Even in Dublin, availability remains below 2006-2007 levels, a time of rental shortages, and at roughly one third the level of availability seen a decade ago," he said.
"This underscores the importance of significant amounts of additional new rental supply - and not just in Dublin in solving an issue that was central in the minds of voters earlier this year," he added.