Four people died on the country's roads over the August bank holiday, last weekend.
2,264 instances of speeding were recorded by Gardaí across the 26 counties.
A motorist was detected driving at 164kmh on the N17 at Shanvaghera, outside Knock on Bank Holiday Monday. The speed limit in the area is 100kmh.
160 suspected instances of driving under the influence were also recorded nationally - 55 for suspected drug driving and 105 for drink driving.
Assistant Commissioner Paula Hilman said that the force, together with the RSA, was very disappointed by the high number of road traffic offences detected over weekend, and the blatant disregard for others.
“The level of endangerment we encountered over the weekend is not acceptable,” she said.