Grupo Modelo said the decision had been made after its business activities were declared non-essential under a government order.
Corona and the company's other brands, which include Pacifico and Modelo, are exported to 180 countries.
"We are in the process of lowering production at our plants to the bare minimum," the company said in a statement, adding it would complete the suspension in the following days.
The Mexican government this week declared a health emergency and ordered the suspension of non-essential activities after the number of coronavirus cases in the country surpassed 1,000.
The brewer said in a statement that the suspension will go into place from Sunday and that it was already in the process of scaling down production to a level at which it could resume once the suspension is lifted.
"If the federal government considers it appropriate to issue some clarification confirming beer as an agro-industrial product, at Grupo Modelo we are ready to execute a plan with more than 75% of our staff working from home and at the same time guaranteeing the supply of beer," the statement said.
Agriculture and food production in general are considered essential activities.
Grupo Modelo, which is part of the brewing group Anheuser-Busch InBev, operates 11 breweries in Mexico.
Corona means crown in Spanish and the symbol is used on the beer's labelling. COVID-19 is known as coronavirus because of its crown-like shape.
