The first quake, of 5.5-magnitude, occurred just after 6 a.m. local time (9 a.m. EDT) about 11 miles west-southwest of Santiago Pinotepa Nacional, the U.S. Geological Survey said.
The temblor was located at a depth of 4.7 miles, USGS said.
The second quake, with 5.1-magnitude, shook the ground 8 minutes later 3 miles closer to the same town. The quake was located deeper underground, at a depth of 8 miles.
The quakes were about 100 miles east of Acapulco.
The Acapulco region has been an active earthquake area in recent months, LALATE reported. A 6.3-magnitude quake struck the area in April 2012. A 4.8-magnitude quake shook the same region in January.