Faye has lost her money and is stranded in Jupiter's orbit with no fuel. She finds a destroyed ship floating nearby and inside finds a dying pilot who asks her to take a briefcase to the I.S.S.P. At the same time, Spike and Jet are getting ready to capture a bounty named Morgan, but when an eco-terrorist group called the Space Warriors hug Morgan first, they decide to go after a different bounty; the leader of the eco-terrorists!
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.