Both fires at the buildings in Bassettere, on the island of St Kitts, occurred in the pre-dawn darkness of Sunday. Authorities responded to the fire at the OAS offices around midnight, and were called out to the nearby embassy several hours later.
The Venezuelan Embassy was reduced to charred rubble while the OAS office sustained only minor damage. No one was injured in either fire.
But Prime Minister Denzil Douglas said yesterday the fires occurred after a political demonstration by allies of the opposition Unity Party and he blamed them for what he called "extreme political tactics" aimed at destabilising the government.
"There are those in this country whose primary objective is to win as they define winning regardless of the impact on our proud, progressive nation," he said in nationally broadcast address in the two-island country. "They are energised more by what they are determined to destroy than by what they wish to build."
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"We find especially abhorrent any attack on the personnel or property of friendly foreign nations, which have all provided and continue to provide invaluable support," Brantley said.
Politics in the islands have been increasingly polarised since December, when Brantley filed a no-confidence motion aimed at forcing elections. The majority has not allowed a vote on the motion. In October, Unity led a march that filled the streets of Basseterre with hundreds of demonstrators, a large turnout in a small nation of about 50,000 people.