The ICSA is calling for new dog-control legislation to force owners to get their dogs microchipped.
It would mirror the law that came into force in Northern Ireland in April.
ICSA sheep chairman, Paul Brady, said: "In the last few months alone several children have been attacked by the likes of husky dogs in Limerick, Clare, Donegal and elsewhere.
"We need a stronger regime of control which promotes more responsible dog ownership for everyone's benefit."
Some 10,000 dogs were put down in pounds across the country last year because their owners could not be traced.