When Does the Film "No Country for Old Men" (2007) Take Place?
"No Country for Old Men" is a crime film written by Joel Coen with Ethan Coen [adapting "No Country for Old Men" (2005) by Cormac McCarthy] that released November 9th, 2007. So when is "No Country for Old Men" set?
It takes place in the year:
We know this because early on Anton Chigurh says to the gas station owner, "You know what date is on this coin?" and then "1958. It's been traveling 22 years to get here." So it's 1980 AD at the beginning.

1980 AD
We know this because early on Anton Chigurh says to the gas station owner, "You know what date is on this coin?" and then "1958. It's been traveling 22 years to get here." So it's 1980 AD at the beginning.
1958 + 22 = 1980.
At very near the end of the story, a tombstone can be read during the dead character's funeral reading "1922 – 1980". So we know it's all within the same calendar year.