They had previously called for the Offaly TD to resign from cabinet.
The Irish Road Victims' Association says it's accepts an apology from the Agriculture Minister and will work with him going forward.
Its founder Donna Price says Minister Cowen contacted her to personally to apologise for drink-driving in 2016.
Earlier this week, the organisation called for the Laois/Offaly TD to resign from cabinet.
Ms. Price says she was shocked by his actions, but is drawing a line in the sand on the issue:
Midlands Gardai Suspension Story Given Standing Ovation At Conference
Newly Released Census Shows 500 People At Former Midlands Asylum
Offaly Gardai Seize Two E-Scooters
Laois Man Who Assaulted Landlord Jailed For 12 Months
Laois Library Earns National Recognition With Award Nomination
Sunny Spell Set To Continue As Temperatures Climb Across Ireland
Major Housing Expansion Planned For Laois Estate Sparks Objections
Midlands Set For Large Scale Energy Parks
Midlands Outdoor Equipment Shop Shutting Down
Irish Rural Link CEO Hits Back Against Varadkar Comments
Developers Seek Fuel Support As Rising Costs Threaten Housing Delivery
Midlands ETBs Launch New Tertiary Mental Health Nursing Course
Gardaí Searching For Missing Midlands Man
Gardaí Investigate Vandalism Incident In Laois
Plans Submitted For Large Scale Midlands Solar Project
Driver Arrested Under The Influence In Laois
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Gardai Investigating Assault in Westmeath
Offaly Landowner Prosecuted For Destruction Of Vegetation
Revenue Seize Contraband Worth €156K In Various Operations