Gardai said between Monday and Friday of last week a total of 74 fines for non-essential travel had been processed.
The fines issued over the weekend will now be checked and processed.
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Once these are processed, definitive figures will be available later this week.
Since January 11, the Garda have been permitted to issue a 100 euro fixed payment notice to anyone in breach of travel restrictions.
Gardai had warned the public not to travel for non-essential reasons and that checks were being conducted throughout the country.
They have reminded people that the 5km limit includes the distance travelled to a location to exercise.
“In other words, you can’t travel more than 5km to a location to exercise,” a Garda spokesman said.