"In light of today's earthquake, we can confirm that Malia Obama is safe and was never in danger," the first lady's communications director, Kristina Schake, said in a statement.
The White House rarely comments on the president's children and had asked journalists not to report on the 13-year-old's vacation.
ABC News said the White House Wednesday repeated its request that "the media respect the privacy and security of the Obama children and not report on or photograph the girls when they are not with their parents."
A 7.4-magnitude earthquake struck southern Mexico Tuesday, damaging hundreds of homes, officials said. The quake was centered in Oaxaca state, about 200 miles southeast of Mexico City, the U.S. Geological Survey said.