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The first recorded bullfight may be the Epic of Gilgamesh, which describes a scene in which Gilgamesh and Enkidu fought and killed the Bull of Heaven ("The Bull seemed indestructible, for hours they fought, till Gilgamesh dancing in front of the Bull, lured it with his tunic and bright weapons, and Enkidu thrust his sword, deep into the Bull's neck, and killed it")

The modern corrida is highly ritualized, with three distinct stages or tercios ("thirds"); the start of each being announced by a bugle sound. The participants enter the arena in a parade, called the paseíllo, to salute the presiding dignitary, accompanied by band music. Torero costumes are inspired by 17th-century Andalusian clothing, and matadores are easily distinguished by the gold of their traje de luces ("suit of lights"), as opposed to the lesser banderilleros, who are also known as toreros de plata ("bullfighters of silver").

In the final stage, the tercio de muerte ("a third of death"), the matador re-enters the ring alone with a smaller red cloth, or muleta, and a sword.

The matador uses his muleta to attract the bull in a series of passes, which serve the dual purpose of wearing the animal down for the kill and creating sculptural forms between man and animal that can fascinate or thrill the audience, and which when linked together in a rhythm create a dance of passes, or faena. The matador will often try to enhance the drama of the dance by bringing the bull's horns especially close to his body. The faena refers to the entire performance with the muleta.

The faena is usually broken down into tandas, or "series", of passes. The faena ends with a final series of passes in which the matador, using the cape, tries to maneuver the bull into a position to stab it between the shoulder blades going over the horns and thus exposing his own body to the bull. The sword is called estoque, and the act of thrusting the sword is called an estocada.

At the end of the tercio de muerte, when the matador has finished his faena, he will change swords to take up the steel one. He performs the estocada with the intent of piercing the heart or aorta, or severing other major blood vessels to induce a quick death if all goes according to plan.