Several airlines in Singapore and Australia said they are preparing for disruptions, but that flights were running normally for now.
People fleeing this week were settled in 400 locations across Bali, including temporary camps, schools and other public buildings.
Agung, which dominates the landscape in the northeast of the island, last erupted in 1963, killing more than 1,100 people.
Authorities said last week that Mount Agung has shown signs of magma rising, forcing them to create a 7.5-mile buffer zone around the mountain where the volcano is located.
Moreover, the rise of Alert status was set at night when a successive earthquakes also happened, and the circulation of a lot of false information (hoax) also cause people living in safe areas to evacuate.
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Both volcanoes sit on the Pacific Ring of Fire, an area of intense seismic activity that stretches 40,000 kilometers (25,000 miles) from New Zealand to South America.
"I was very anxious about the situation" said Nyoman Suarta, who lives in a village just outside the danger zone. An eruption could temporarily disrupt air travel in the region by spewing ash into the atmosphere.
According to Sutopo, volcanic activity of Mount Agung remains high although it is not predictable when it will erupt. Sirens will be sounded if an eruption occurs.
"The principle concerns here are that the volcano can eject volcanic rocks to distances of many kilometers from the crater, and that the volcano could erupt ash and/or emit sulfur dioxide", said Andrews, from the Smithsonian Institution's Global Volcanism Program.
The Philippine embassy in Jakarta, Indonesia advised Filipinos traveling to or residing in Bali to remain vigilant as the volcano on the tourist island continues to rumble.