Such incidents are worrying amid rising tensions with China.
Taiwan's Defense Ministry said on Thursday that its website has been cyber-attacked.
The ministry said that the site was temporarily offline.
Giving information, it was said that she is working closely with other officials to increase cyber security because such incidents are worrying amid increasing tension with China.
Earlier this week, several government websites, including the presidential office, were hit by foreign cyber attacks, some of which officials said were being carried out by China and Russia.
China's military conducted joint naval-air exercises around Taiwan on Wednesday in the wake of US House of Representatives Speaker Nancy Pelosi's successful visit to Taiwan, fueling speculation that it may attempt to blockade the self-governing island.
The Eastern Theater Command of the Chinese People's Liberation Army (PLA) said the Navy, Air Force, Rocket Force and Strategic Assistance Force, among other forces, participated in the exercise in the maritime and airspace around Taiwan.
Official media reports said the PLA would also conduct military exercises from August 4 to 7 in six different areas that surround the island of Taiwan from all directions.
China intensified military exercises after Pelosi arrived in Taiwan on Tuesday.
The government-run Global Times said in a report that the PLA's military exercises around Taiwan would continue as part of the reunification campaign and that the island's blockade exercises would become regular.
Military experts said the PLA could send drones to Taiwan to vent its anger over Pelosi's visit and conduct regular military exercises in the coming weeks.
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