Cowboy Bebop revolves around a motley crew of bounty hunters living in the spaceship named Bebop. The team of bounty hunters travel the Solar System trying to apprehend fugitives for bounties. Jet Black, the ship's captain and owner, partnered with Spike Spiegel for his diverse combat skills. During their travels, the Bebop gains three new crew members: Ein, a genetically altered dog with human level intelligence; Faye Valentine, a woman with a mysterious past; and Edward, an eccentric girl who also happens to be a cyber-hacking genius.
Throughout the series, Bebop crew members' pasts catch up with them, and the show regularly utilizes flashbacks to illustrate the history of the main characters. Spike's past as a syndicate enforcer is a major element of the series, while other episodes deal with Jet's previous occupation as an ISSP officer on Ganymede, and Faye's mysterious origins and significant debt problems. The day-to-day life of the crew is also explored throughout the series.