The production entitled Mexica, which centers on the Spanish conquest of the Aztecs, began filming two weeks ago on location in Mexico City. Mexico has so far confirmed 26 cases of coronavirus.
Only a skeletal wrap crew will continue working through next week, and cast and crew were informed that production might resume in December depending on how the public health crisis develops.
The project's budget is believed to be tens of millions of dollars, and dozens of local contractors will be affected by the suspension.
Amazon did not immediately respond to a request for comment.
It comes after the cancellation of the Guadalajara International Film Festival, set to kick off in Mexico's second biggest city late next week.
Some 145,594 people have been infected by the coronavirus across the world and 5,419 have died, according to a Reuters tally.