The bear in Danganronpa is Monokuma. He’s the series’ iconic teddy-bear- shaped antagonist and the one who runs the killing-game setup across the main story.
He’s usually black and white, with a split-face design and a creepy grin, which fits the name: “mono” for monochrome and “kuma” for bear. In the games and anime, Monokuma acts like the headmaster figure who sets the deadly rules in motion.