The magnitude 7.1 quake flattened dozens of buildings and killed at least 307 people.
There were also 73 deaths in Morelos state, 45 in Puebla, 13 in the State of Mexico, six in Guerrero and one in Oaxaca.
Rescue workers continued to search through rubble from Tuesday's quake, but had to suspend some their efforts briefly because of the shaking Saturday, according to Mexico's civil protection agency.
The U.S. Geological Survey says the new natural disaster to strike Mexico had a magnitude of 6.1 and was centered in the southern state of Oaxaca.
The U.S. Geological Survey said the new, magnitude 6.1 temblor was centered about 11 miles south-southeast of Matias Romero in the state of Oaxaca, which was the region most battered by a magnitude 8.1 quake on September 7.
In 1813, a Chiapas priest, Mariano Robles Domínguez de Mazariegos, testified in Spain to the "violent humiliations" suffered by the indigenous inhabitants of Chiapas, who, he said, lived a life of "agitation and continuous terror and distress" because they were treated with such "contempt and hatred".
After working with scores of other young volunteers to save people from the devastation of a major quake in 1985, Fernando Alvarez Bravo helped set up the "Topos Tlatelolco" search and rescue brigade, which deploys in Mexico and overseas.
Shelters across the city have welcomed around 2,700 people since the quake, with 1,900 of them still there.
"I always believed I was going to get out alive", he said.
For 17 hours, Martin Mendez was trapped under the wreckage of a Mexico City building, praying to see his 3-year-old daughter again. "But as good Mexicans we have to keep lending support however we can". They talked about their families and prayed to the Virgin of Guadalupe.