Following Hirving Lozano's goal in the 35th minute, The Institute of Geological and Atmospheric Investigations said highly sensitive quake sensors registered tremors at two sites in the Mexican capital.
Hirving Lozano finished off a thrilling Mexico counter-attack after 35-minutes to put his side ahead.
"We have to win our next two games or that's the World Cup done with".
Lozano's goal at the Luzhniki Stadium earned Mexico just the second win over Germany in history, as Loew's side paid the price for a dismal first half.
The Germans are bidding to become the first team to retain the World Cup title since Brazil in 1962, but have now won only one of their last seven games in all competitions.
"It's pretty simple: we played like we did against Saudi Arabia, but this time it was against a better opponent", fumed the Bayern Munich player, who was booked for a foul in the dying stages.
"It's disappointing to have lost the first match", he added.
"We prepared for the use of Mario Gomez up front".
It may have only been four years since, but 14 of Germany's 23 World Cup winners have either been replaced or dropped but none have affected the team as much as the departures of the captain from Rio, Philipp Lahm and Basti. The current Mexican team is a blend of experience and youth.
A massive, world-shaking goal that Lozano said after the match was the most important of his young, sparkling career.
"We will not change our game plan".
But after David Guzman was handed a yellow card, Kolarov curled the free kick over the wall and Navas, who plays for Real Madrid, was not able to reach it.
"We showed a lot of character, a lot of determination", midfielder Miguel Layun said.
"We have 3 matches in the group phase and we have ample opportunities to correct this result". According to football statistics website Whoscored, of Germany's starters, only Sami Khedira and Timo Werner, who were substituted, registered a lower rating than Ozil. Elsewhere, Serbia's new star lived up to his billing in a 1-0 win over Costa Rica. Kimmich's absence meant Ozil was left trying to stop Lozano for Mexico's opening goal.
"Tomorrow we will start thinking about [South] Korea because this World Cup is not only about the opening game", Hernandez said. Its great to start on the right foot, against the reigning world champions.
One desperate last attack then had Neuer come up for a corner before Mexico closed out an unforgettable triumph.
Mexico, on the other hand, are riding high, after coach Juan Carlos Osorio told his players to "play for the love of winning and not the fear of losing".