It's a normal day on the Bebop for bounty hunters Spike and Jet, until they find out about a new bounty hunter. Asimov Solensan is going around selling a new drug that he stole from the syndicate. It is an eyespray called 'Bloody Eye' which makes all of its users very fast and almost invincible, but they also go crazy. Spike and Jet do whatever it takes to catch the culprit. At the same time the syndicate is trying to hug Asimov and get the drug back from him.
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.