“Aggressive tax planning by the multinational companies has been criticized by governments across the globe and has damaged the reputation of many countries,” Michael Noonan, Ireland’s finance minister, told the Irish Parliament on Tuesday as part of a budget speech. “I am abolishing the ability of companies to use the ‘double Irish’ by changing our residency rules to require all companies registered in Ireland to also be tax-resident.”

Google declined on Tuesday to comment on the specifics of the double-Irish technique.

“As we’ve always said, it’s for governments to decide the law and for companies to comply with it,” Google said in a statement. “We’re deeply committed to Ireland and will work to implement these changes as they become law.”

Apple and Microsoft declined to comment about their Irish tax strategies. Abbott Laboratories did not respond to calls.

Dublin’s defending the double-Irish provision has become steadily more difficult in the growing political debate about the tax payments made by multinationals.

“I think this is part of an overall drive to try to get international companies to pay more tax,” Mr. Tynan said. “Ireland wants to be very competitive, but it has to do that within international rules, and there was a feeling that this was at the boundaries of those rules.”

Along with Ireland’s tax dealings, the European Commission is also investigating Luxembourg’s relationship with Amazon and a finance unit of Fiat, the Italian automaker. The commission is also questioning Starbucks’s tax arrangements in the Netherlands. These investigations are separate from Ireland’s efforts to phase out certain tax policies.

At a meeting in Luxembourg on Tuesday, European Union officials gave the Irish announcement a cautious welcome. The European Commission, the union’s executive arm, “will have to look at the details and how it will work in practice,” said Algirdas Semeta, the bloc’s tax commissioner, “but the intention is a very good one.”