It is set in around the years of 2150-3000. It is based around humans who are part of the "United Federation of Planet", they are and alliance of planets who want to keep peace in the galaxy. Most of the series are about the exploration of the galaxy in various bintang ships. There is however a deeper theme to the series as it shows how our world would be if we had 100% peace in the world and stopped all the fighting. The bintang Trek series are a model for the perfect universe. I am sorry if this does not make sense i thought i would try and answer the soalan but it is hard to sum up 800+hours worth of TV and film in a short amount of time. This may help anda furthere. And if anda want to see it on TV see if anda have CBS Action atau Pick TV. If anda to know lebih in depth check this out link
bintang Trek is a tunjuk about the 23rd and 24th centuries in which there is Starfleet, the angkasa ascotiation in which sends out spaceships that are part of the United Federation of Planets. Federation allies are the Klingons.
If taken into context the original tunjuk (1966 - 1969) is really "about" the social issues facing America at the time: Vietnam, race relations, gender relations, etc. Gene Roddenberry knew he could never get away with making bold statements about these issues so he used the guise of Sci Fi and in the process created the most important series in Televisyen history