The volcano island has been showing signs of activity since last March, and about three dozen eruptions have been recorded in recent history. Sitting on a lake that partly fills a caldera formed thousands of years ago, it is a popular attraction for tourists, who view it from a ridge in Cavite Province to the north.

Salvador Panelo, a spokesman for President Rodrigo Duterte, said the government was “closely monitoring the situation of Taal Volcano.”

“Concerned agencies of the national government are now working closely with the provincial government of Batangas to ensure the safety of the residents, including their evacuation,” Mr. Panelo said. “We advise the public to continue to remain vigilant.”

Rea Torres, who is from the town of Dita in Batangas, said that when she went to check on the family residence, she felt tremors twice: “I felt as if the whole floor moved.”

“It is very scary,” she said, describing “ominous clouds above us” and thunder and lightning.

Last January, an eruption at the most active volcano in the island nation — the Mayon, in Albay Province, about 200 miles east of the Taal — prompted an alert level of four as it generated up to 1,600 feet of lava fountains and ash fell on two nearby villages.