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Photo: ProtoplasmaKid, CC BY-SA 3.0 via Wikimedia Commons
This square measures 240m long on either side. A huge Mexican flag occupies the center, which is ceremoniously lowered and re-raised each day at 18:00. You may see art exhibits, concerts, demonstrations or all manner of social gatherings taking place here. On New Year's Day, practitioners of Mexico's indigenous religions gather to bless believers for the coming year; Mexican independence is celebrated in the plaza on 15 and 16 September. During December, through the miracle of modern refrigeration, the entire Zócalo is transformed into an ice skating rink.
Zócalo is the common name of the main square in central Mexico City. Prior to the conquest by Spain, it was the main ceremonial center in the Aztec city of Tenochtitlan. The plaza used to be known simply as the Plaza Mayor or Plaza de Armas, and today its formal name is Plaza de la Constitución.
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A side chapel next to the Cathedral completed in 1769. The façade is an excellent example of Mexican Churrigueresque architecture.
National Palace
The palace in its current form began construction in 1693 and served as the Palace of the Viceroy of New Spain until the Mexican War of Independence, when it became the executive seat of the President (though today it is no longer his official residence). The walls inside the palace display murals by Diego Rivera depicting the history of Mexico from the pre-Columbian age to the Mexican Revolution. You can also visit the Recinto Legislativo, a replica of the first Mexican Congress, and tour the home of Benito Juárez. Tours in English are free; ask for one at the information desk across the street. It’s strongly recommended to get there early in the day, and you’ll likely be given a reserved time to return later that afternoon.
Plaza de Tenochtitlán
This place is allegedly where the Aztecs found the eagle eating a snake on top of a cactus (nopal), the divine sign of the gods to settle down and establish the city of Tenochtitlán. It features a sculpture by Juan Olaguibel made in 1970.
Metropolitan Cathedral
The largest cathedral in the American continent. Designed by Claudio de Arcinieaga, construction started in 1537 and lasted for 250 years. Be sure to check out the side chapels where parishioners leave offerings for the various saints. For a bird's-eye view of the plaza, you can take a 40-minute tour (Spanish language only) of the upper levels and bell towers of the cathedral (M$12).
Features an open-air diorama of the old Tenochtitlán.
Antiguo Palacio del Arzobispado
Eclectic art collection owned by the government's Finance ministry. Mexico has an innovative tax program that allows collectors and artists to pay tax debts by donating significant artworks. The collection includes works by famous artists like Diego Rivera, Frida Kahlo, and Rufino Tamayo as well as many cutting-edge contemporary works.