The point of view of a story can be identified by considering who is telling the story. Is it a person who is part of the narrative? Is it the protagonist of the story, telling the events of the narrative in the first person, with words like "I" and "me"? Or is it written in the third person, with words like "they"? And how much does the narrator know?
In this case, the story is being written in the third person. We can see that the narrative voice does not use "I" statements; it isn't telling us about events which the narrator seems to have personally had a part in. On the contrary, the narrative voice seems to replicate that of a documentary, particularly given that it begins very exactly with the date "June 27th."
Note the use of the distancing term "the villagers" to describe the people in the story. This is a strong indication that the narrator is not one of these people. However, at the same time, the narrator is aware of what the villagers think and feel, albeit in broad strokes, rather than individually. The narrative voice knows where the box is put over the course of the year, and knows how the villagers feel not only about the box and the tradition, but also about the other villagers.
This general air of knowing everything about everyone in a narrative voice is normally described as omniscient narrating, or all-seeing narration. The narrative voice of this story, then, is third-person omniscient.