Three people died in road accidents in Munster at the weekend bringing the total number killed over the bank holiday weekend to four.
Yesterday the Minister for Transport, Mr Brennan, warned against any complacency about this year's reduction in road deaths.
The penalty-points system had reduced road death levels and had also improved driver behaviour, the Minister's spokesman said. However, any lessening of vigilance or law enforcement could lead to an increase in road deaths, he said.
Gardaí have sought help from the public in connection with several road accidents over the weekend.
Two people were killed in a two-car collision in Newport, Co Tipperary, on Sunday evening.
Ms Maria McCoy (64), from Kilcommon, Thurles, and Mr Noel Quigley (19), from Tullow, Newport, were involved in a head-on collision between Rearcross and Lackamore in Co Tipperary at about 7.10 p. m.
Mrs McCoy, a mother of three, was driving home from work in a nursing home in Newport when her car was in collision with Mr Quigley's.
Both victims were pronounced dead at the scene, and a 19-year-old man who was a passenger in Mr Quigley's car was taken to Limerick Regional Hospital. His condition was described as "comfortable" last night. Both vehicles were taken to Killaloe Garda station for technical examination.
Gardaí in Cork are seeking the public's help following a collision between a car and a pedestrian in Ballincollig early yesterday morning.
Mr Stephen Daly (35), from Whitethorn Drive, Inniscarra View Estate, Ballincollig, was walking home from the village with his wife at about 1.40 a.m. when a car struck him from behind.
The incident happened at the West Village a few hundred yards from the centre of Ballincollig.
An ambulance was called, but Mr Daly was pronounced dead on arrival at Cork University Hospital.
The driver stopped at the scene and spoke to local gardaí. His car was later taken to Gurranbraher Garda station for technical examination.
Mr Daly was the son of a retired Cork garda, Mr Patrick Daly. Yesterday a spokesman for the Garda extended the sympathy of the force to the Daly family.
"We are very conscious that this accident is the second to hit Ballincollig," the spokesman said, referring to a traffic accident which claimed the lives of a Ballincollig mother and daughter a fortnight ago.
Early last Saturday morning, 21-year-old Neil Henry of Emmet Street, Ballymote, Co Sligo, when his car left the road near Ballymote.
Meanwhile, gardaí in Blanchardstown, Dublin, are seeking witnesses to a serious hit-and-run accident which happened at Main Street at 3.20 a.m. yesterday.
A 24-year-old male pedestrian was seriously injured after being struck by a silver-coloured saloon car.
This follows a similar incident in Finglas on Saturday morning. A 21-year-old pedestrian was left in a critical condition in hospital after being struck by a car on Wellmount Road.
Mr Brennan praised Operation Taisteal, the Garda Síochána's Easter road safety campaign, and said the high visibility of gardaí was a major factor in improving driver behaviour.
Operation Taisteal, which involved 5,000 gardaí and a large number of checkpoints, ended at midnight last night. The campaign focused on speeding, drink-driving, the driving behaviour of young male drivers and the non-wearing of seat-belts.
From July 1st motorists caught without a seat-belt will receive penalty points, while uninsured drivers will be penalised from June 1st.