"So Ephron's field in Machpelah near Mamre - both the field and the cave in it, and all the trees within the borders of the field - was deeded to Abraham as his property in the presence of all the Hittites who had come to the gate of the city." NIV translation
So Abraham bought the field in Machpelah which we have already saw is Hebron in what is called the "West Bank" today. There were witnesses there, as required by tradition and law. The Machpelah purchase was, in fact, an acknowledgement that the land of Canaan was Abraham's new homeland.
"Afterward Abraham buried his wife Sarah in the cave in the field of Machpelah near Mamre (which is at Hebron) in the land of Canaan." NIV translation
Abraham buried Sarah in the cave and Abraham would be buried there as well. Today, the Ibrahimi Mosque is built on the site and it is also known as the Cave of the Patriarchs. As of the 1993 Oslo Accords, political control of the area has been given to what is known as the Palestinian Authority.
"So the field and the cave in it were deeded to Abraham by the Hittites as a burial site." NIV translation
Here, we see again that the land was sold to Abraham who is the father of the Judeo-Christian faith. After Abraham's death, the property would have been given to his son Isaac and passed on through the generations. One day, Hebron as well as all of the earth, will be claimed by its right owner which is Jesus Christ.