A Christmas Story is set during Christmas time, specifically in the 1940s. However, the exact date within December isn't really specified in a very precise way in the story. It's more about the general Christmas season atmosphere with all the build - up to Christmas Day.
The story 'A Christmas Story' doesn't nail down a specific date. It's centered around the Christmas holidays. It's set in the 1940s, and we get to experience all the pre - Christmas excitement, like Ralphie's wish for a Red Ryder BB gun, the school Christmas play, and the family's Christmas preparations. But no particular day within December is made clear.
Well, the movie 'A Christmas Story' doesn't give a super - exact date. But it takes place during the Christmas period. We know it's around the 1940s. We see all the typical Christmas things like waiting for Santa, getting a Christmas tree, so it's more about that general time frame of Christmas rather than a specific date like December 20th or something.