From
http://www.kungfu-guide.com/overview.html :
Series Overview
The time is the 1870s. The place is the American Southwest and, in flashbacks, China. The stories follow Kwai Chang Caine, a half-Chinese, half- American Shaolin priest, an expert in the ancient Chinese art of Kung Fu ("It is said a Shaolin priest can walk through walls. Looked for, he cannot be seen. Listened for, he cannot be heard. Touched, he cannot be felt."*3*). Caine had been raised/trained mostly by Master Kan and Master Po at the Shaolin Temple in the Honon Province of China. But he had to leave the country after killing the Emperor's*1* nephew (who had shot and killed Master Po).
Once in America Caine learns he has a half brother. While searching for Danny Caine, Kwai Chang Caine is sought by Chinese assassins and American bounty hunters (who are after the $10,000 reward that China, in widely distributed wanted posters, offers for his capture - only $5,000 for his death).
('Kung Fu' actually translates as something like 'human effort' or 'skill' or 'ability.' But in current English usage, it tends to refer to Chinese martial arts disciplines.)