Faye Valentine, a woman on the run from the authorities, is held captive by a casino owner who wants her to perform a simple task. If she does this, then all of her debt the authorities are so eager to obtain from her will be erased. At the same time, Jet has a premonition to take a chance with his hard earned money. The former cop and Spike head over to the same casino that Faye is now working at.
In the year 2071 humanity has colonized the entire Solar System through the use of 'Phase Difference Space Gates'.
A catastrophic accident occurred during the development of the Gates, damaging both the Earth and the Moon, heavily irradiating the surface, and forcing most of mankind to evacuate to other planets of the Solar System.
Wherever humanity goes, so goes its criminal element, and thus the need for those who hunt criminals. The newly formed solar system police reinstated the bounty scheme of the Wild West. Cowboy Bebop is the story of the four inhabitants of the spaceship Bebop, and the living they barely make at bounty hunting.