Motorists have paid between €150 and €175 extra on their premiums over the past five years to cover uninsured drivers claims.
The Motor Insurers’ Bureau of Ireland received more than 10,000 claims relating to accidents caused by uninsured and untraced motorists in that same period.
There were 188,000 uninsured private vehicles on Irish roads last year.
They are also predicting the number of uninsured vehicles on Irish roads could pass 200,000 in the next 12 to 18 months.
MIBI Chief Executive David Fitzgerald said there needs to be greater enforcement.
"It's very alarming," he said.
"We're highlighting these figures that there's more than 10,000 accidents over the last five years where a vehicle without insurance was responsible.
"The key, that we see, is we need more enforcement; and what we want to do is give the Gardaí the tools to do that".
"The cost of these claims is being borne by the the law-abiding motorists of Ireland - and if we want to stop this problem, we need to reduce uninsured driving.
"The best way to do that is to get the automatic number plate detection system fully in place.
"That can't happen until the Road Traffic and Roads Bill is passed by the Oireachtas.
"We're calling on that to happen without delay," he added.