In the movie, Scarface (Tony Montana) is killed by a combination of events:
* He is shot multiple times in a final confrontation with a rival drug lord, Alejandro Sosa.
* He falls from his balcony, suffering further injuries.
* He is ultimately shot and killed by Sosa's hitman, Manny Ribera, who he previously betrayed.
It's important to remember that this is a fictional story. There's no real-life Scarface, and his death is depicted in a dramatic and violent way for the purposes of the film.