The number of claims related to accidents caused by drivers who were either uninsured or untraced rose 11% last year.
The Motor Insurers' Bureau of Ireland (MIBI) said 1,927 claims were received during the year, up 187 on 2022.
The largest number of claims came in Dublin where there were 822, followed by Cork which recorded 141.
The number of claims relating to uninsured drivers grew in 14 of the 26 counties across the country.
The largest percentage increases came in Mayo, where they rose 80%, followed by Meath, up 55%.
Of the nine counties where a drop in the number of claims was recorded, the biggest percentage decrease came in Leitrim, which was down 55%.
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"This jump of almost 200 claims due to accidents caused by uninsured vehicles should be a cause of concern for every law-abiding motorist in the country," said David Fitzgerald, CEO of the MIBI.
"It is illegal to drive without valid motor insurance, yet as these figures show there are still a significant number of people who are willingly flouting the law."
"Every one of the uninsured motorists behind these claims is effectively putting their hands in the pockets of law-abiding motorists and taking their money."
Speaking on RTÉ's Morning Ireland, Mr Fitzgerald said up to 50 motorists are having their vehicles seized every day because they are driving without insurance.
He said figures from 2022 show there were 188,000 private vehicles on Irish roads without insurance, which is one-in-12 - the second highest in the EU.
Mr Fitzgerald said that once people realise how easy it is to be detected and caught, it will start to change behaviours.
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Driving without insurance is a very serious offence, he said, adding that a person can be left at the side of the road and have their vehicle seized, as well as receive five penalty points and a mandatory court appearance, a fine of up to €5,000, or potential prison time for repeat offenders.
The MIBI said the growth in claims reaffirms the importance of the new law enforcement system to clamp down on uninsured driving.
Last November, a data sharing agreement began which resulted in the MIBI now providing the insurance details for 3 million vehicles using Irish roads on a daily basis to An Garda Síochána.
As a result, gardaí can now check the insurance status of any vehicle simply by scanning its registration plate.
"We’re on record saying our expectation is that this will be a gamechanger for law enforcement in dealing with the scourge of uninsured driving," said Mr Fitzgerald.
"We hope that as this new weapon begins to bite, it won’t be long before the number of uninsured claims we receive also begins to fall."
The MIBI is a not-for-profit organisation established to compensate victims of road traffic accidents caused by uninsured and unidentified vehicles.
But the expense of meeting these claims is borne by law-abiding motorists, with the average motorist contributing €30-€35 at their most recent insurance renewal to cover the claims paid out by the MIBI in the last year, the organisation said.

Early results from garda mandatory roads policing 'positive' - Chambers
The initial results from gardaí spending a mandatory 30 minutes of roads policing per shift have been "positive", according to Minister of State with responsibility for Transport Jack Chambers.
"The figures for the first 12 days are positive. There has been a 42% increase in the number of breath tests carried out, 61% increase in the number of fixed charge notices and increased arrests for people that are driving when intoxicated."
However, Mr Chambers said that more significant enforcement is needed on roads and that 12 static speed cameras will be operational this year.
In addition, a road safety group is examining a camera-based enforcement strategy and this will be part of the Department's requests for Budget 2025.
An independent review of the Road Safey Authority (RSA) is also under way and close to completion, Mr Chambers said.
"There is an independent review that's concluding presently and that's looking at their funding model," he said.
Speaking on RTÉ's Today with Claire Byrne, Mr Chambers added: "So, for the last over ten years they have been a self-financing agency through the fees that they generate.
"Recommendations are going to be made to me on that in the coming weeks and we'll bring that to Government this summer to look at the structure.
"Their funding model and how we can make sure the Road Safety Authority is best placed to fulfil its road safety remit and we will be working with them to do that."
Mr Chambers also said that for the first time in 30 years, a review of the driving test system is being undertaken.
He said it needs to be modernised in the context of motorway driving and new challenges that people are facing on the road.
Mr Chambers said more awareness campaigns around road safety will be rolled out with a particular focus on young people.
"We've seen a big spike in the number of young people who've lost their life this year - up to 40% under 30.
"So, there's a real spike in fatalities amongst young people. And there's specific campaigns being rolled out to really remind people of their obligations on the road, to slow down and never, ever take a substance or drink and drive."
Meanwhile, the chairperson of the RSA Liz O'Donnell has said she is "very glad" of the positive impact so far of gardaí undertaking 30 minutes of roads policing per shift.
"It just goes to show that when we have real visible enforcement as we've had for the last 12 days since the Garda Commissioner introduced that change, it does make a difference.
"And people have to feel that they are going to be caught doing these killer behaviours," she said.
Speaking on RTÉ’s News At One, she also said that the RSA is fit for purpose, but the funding model must be changed and more direct funding from the Exchequer is needed.
"We have been self-funding but we haven't been able to afford to do all of the actions and all of the major campaigns that are needed, given the increase in fatalities and just to implement all the actions that are coming from road safety strategy into 2030," Ms O’Donnell said.
She added that she is happy Taoiseach Simon Harris supports the drive for more funding, outlining that the RSA raises around €90 million every year.
This fundraising has been adequate in previous years, she said, but more funding is needed due to the demands that have been placed on the RSA by a spike in road deaths and a need for more educational campaigns.