"Here in Ireland, her espousal of old draconian militaristic policies prolonged the war and caused great suffering."
She will be remembered in particular for "her shameful role during the epic hunger strikes of 1980 and 81" and her Irish policy "failed miserably," he concluded.
His longtime political opponent in Northern Ireland, the former Rev. Ian Paisley, now Lord Bannside, had kinder words for Thatcher.
"In every phase of life she was great -- great as a woman, great as a wife, great as a mother, great as a political candidate, great as a Member of Parliament, especially as the first woman prime minister, great as a winner of the war, and great as a member of the House of Lords," he said.
Irish Prime Minister Enda Kenny also gave a more positive assessment.
"While her period of office came at a challenging time for British-Irish relations, when the violent conflict in Northern Ireland was at its peak, Mrs Thatcher signed the Anglo-Irish Agreement which laid the foundation for improved North-South cooperation and ultimately the Good Friday Agreement."
Falklands: 'We will always be thankful'
Officials in the Falkland Islands said they would never forget Thatcher's decision to defend the South Atlantic territory in 1982.
"Her friendship and support will be sorely missed, and we will always be thankful for all that she did for us," said Mike Summers of the Falkland Islands Legislative Assembly.
The United Kingdom and Argentina went to war over the territory in 1982 after the then-military government in Argentina landed troops on the islands. Argentina put its death toll from the conflict at around 645. Britain says its civil and military losses amounted to 255.
For more than a year, renewed rhetoric between the two countries over the islands has escalated to a fever pitch, and Argentina's state-run Telam news agency offered an unflinching look Monday at the South American country's take on Thatcher's legacy.
Articles described her as "a symbol of war," "an expression of inequality" and "a great destroyer."
Britain in Europe
European leaders paid tribute to Thatcher's role in shaping Britain's place in Europe.
European Commission President Jose Manuel Barroso said: "She was without doubt a great stateswoman ... and a circumspect yet engaged player in the European Union. She will be remembered for both her contributions to and her reserves about our common project.
"She signed the Single European Act and helped bring about the Single Market. She was a leading player in bringing into the European family the Central and Eastern European countries which were formerly behind the Iron Curtain."
German Foreign Minister Guido Westerwelle said Thatcher "changed Britain permanently. In the same way, she leaves European and world history a great legacy.
"Margaret Thatcher counted among the very few people who you knew, even within their lifetime, had helped write history. She always had her own unmistakeable, pithy and distinctive opinion."
French President Francois Hollande said that Thatcher's relationship with France "was always frank and honest."
She had established "a constructive and fruitful dialogue" with former President Francois Mitterrand and worked to strengthen the ties between Britain and France, he added.
Herman Van Rompuy, president of the European Council, said Thatcher "was a remarkable personality and one of the most influential European leaders of her time."
U.N. Secretary General Ban Ki-moon said the world owed a great deal to Thatcher's leadership.
"She was a pioneering leader for her contribution to peace and security, particularly at the height of the Cold War," he said.
"She was also a great model as the first woman prime minister of the United Kingdom, who not only demonstrated her leadership but has given such great hope for many women for equality, gender equality in Parliament."