Taiwan's manufacturing activity also fell in May. Vietnam, Malaysia, and the Philippines saw PMIs rebound from April, though the indices all remained below the 50-mark threshold that separates contraction from expansion.
Official data on Monday showed South Korea extending its exports plunge for a third straight month.
India's factory activity contracted sharply in May, extending the major decline seen in April as a government-imposed lockdown hammered demand.
Asia's economic woes are likely to be echoed in other parts of the world including Europe, where economies continue to suffer huge damage in factory and service sectors.