When Does the Original “Star Trek” Series Season Two (1967) Take Place?

"Star Trek" (sometimes released as "Star Trek: The Original Series") season two is a science fiction television show showran by Gene Roddenberry and released September 15th, 1967. 

It takes place on the fictional Star Trek timeline in the year: 

2267 AD 

We know this because in season 2 episode 11 "The Deadly Years", Captain James Kirk specifically says, "I'm 34. I'm 34 years old." and in "Star Trek: Enterprise" season 4 episode 19 "In a Mirror, Darkly, Part 2" (2005), tiny on a screen labeled "HISTORICAL ARCHIVE: STARFLEET", the bottom line reads, "2233: James T. Kirk is born in Iowa on Earth, March 22." 

2233 + 34 = 2267. 

Although the famous "stardate XXXX.X" captain's records that open most episodes and some films were mistaken for years on the Gregorian calendar, there is no one-to-one relationship between them. As identified in the biography "Gene Roddenberry: The Myth and the Man Behind Star Trek": "They marked off sections on a pictorial depiction of the known universe and extrapolated how much earth time would elapse when traveling between given points, taking into account that the Enterprise's warp engines would be violating Einstein's theory that nothing could exceed the speed of light. They concluded that the 'time continuum' would therefore vary from place to place, and that earth time may actually be lost in travel. 'So the stardate on Earth would be one thing, but the stardate on Alpha Centauri would be different,' Peeples says." so they are relative to long distance travel and not an absolute calendar. HOWEVER, actual years on the Gregorian calendar began to be used later. 

It is the fourth chronological TV show in the Star Trek universe and can be watched at its timeline point.