The GAA Central Council has decided that there will be no International Rules series in 2007.
Violence was a regular feature of last month's second Test
The move follows violence which marred the second Test between Ireland and Australia at Croke Park last month.
GAA president Nicky Brennan said that about 50% of players contacted had given their views and all wanted the games to continue.
Work will now start on clarifying rules and disciplinary procedures so that the internationals can resume in 2008.
Players' representative Dessie Farrell said that, while there would be disappointment that the 2007 series would not take place, the decision was probably a wise one.
Brennan informed Saturday's meeting of the council that Irish team manager Sean Boylan and his selectors were also in favour of keeping the series going.
However, he added that those who wanted the series to continue stated the need that any future Rules contests be "conducted to the accepted norms of sportmanship".
It was agreed that a document would be prepared by the GAA, which would put on record the basis of structures and rules, their implementation and penalties on which the future of any series will be considered.
The document will be brought back to Central Council for decision after which it will be forwarded to the Australian Football League for their consideration.
If the GAA's terms are acceptable to the AFL, then discussions on the future of the series could take place.