Minister for Justice Frances Fitzgerald has said she is concerned by the "administrative error" which led to some motorists being prosecuted for driving offences, even though they had paid a fine.
Ms Fitzgerald said the problem was now being dealt with as a matter of urgency, adding that every superintendent in the country was to be asked to examine summonses issued in their areas.
She said the scale and scope of the problem was not yet known.
The minister said she welcomed the fact that gardaí had discovered the issue, and that action was being taken to deal with an "administrative procedural error".
She pointed out that those affected had "broken the law", but she said cases involving people being taken to court after paying fines "would be rectified".
Meanwhile, the Road Safety Authority also expressed concern after gardaí announced that a review will take place in relation to prosecutions of all fixed charge motoring offences.
RSA Communications Manager Brian Farrell said gardaí are keeping them updated on the issue.
He said it is vital that the public have complete faith in the system.
Mr Farrell said he does not know the details surrounding the review over what went wrong and how many people have been affected.
Gardaí said the review into all prosecutions in relation to fixed charge offences will establish the full extent of the issue to prevent this happening again and to address the consequences of any incorrect prosecutions.
In a statement, gardaí said district officers had been instructed that they should withdraw any cases due before the courts where the issue arises.
Sinn Féin TD Jonathan O'Brien has called on Garda Commissioner Nóirín O'Sullivan to clarify the scope of the proposed review.
He described the situation as the "latest in a series of disasters" for An Garda Síochána.
The Cork North Central deputy also said there was an onus on Minister Fitzgerald to ensure the commissioner is "accountable for this".