There were almost 700 cases of people driving under the influence of both cocaine and cannabis last year.
A 13-year-old and a 95-year-old were among those who were arrested for drink or drug-driving.
The Medical Bureau of Road Safety received just under 5,900 blood and urine samples for alcohol and/or drug testing in 2021.
Alcohol was the most frequently detected with one driver found to be over eight times above the legal limit.
Meanwhile, of 4,300 samples tested for drugs last year, over 3,400 were found positive for at least one substance. Of those, 36 per cent detected at least two drugs, with cannabis and cocaine the most common combination.
Other than alcohol, the most commonly detected substance was cannabis, followed by cocaine and benzodiazepines.
There were 140 cases of drivers having all three of these drugs in their system.
Sinn Féin's transport spokesman, Darren O'Rourke, says new laws are needed to clamp down on those who drive with several drugs in their system;
"There is a commitment in the current road safety strategy that this would be done and it needs to happen without delay to tackle the increasing problem of poly-drug use."
There were over 40 cases of drivers with four drugs in their system last year.