This place on Mount Zion(765m) is the traditional site of the tomb of King David, and holy to Jews, Christians and Muslims.

Tomb of David
On the ground level are several Jewish synagogues, and the site is one of the most Holiest Jewish places.
The second level is a holy place for Christians-the location of the "last supper", which is detailed in another page.
The third level has a Muslim muezzin tower.
1. First floor : Jewish
Taking pictures inside is forbidden.

King David's Tomb after extensive renovations were completed in 2013 (seetheholyland.net)
(photo coryright@http://www.seetheholyland.net/tomb-of-king-david)
The entrance to the Cenacle on the Second floor.
2. Second floor : Christian
Cenacle, Last supper
The site is the traditional location of the "Last supper"(Coenaculum, Cenacle : dining room). Another tradition holds that the Holy Ghost descended here.
The hall of the Last supper is a 12th century Crusader structure, built on the upper level above the traditional place of the tomb of King David. The archaeological evidence on the lower floor, which revealed an Early Roman level, supports the possibility that this area was indeed the location of the room of the Last Supper.
After the Persian or Arab conquest in the 7th century, the former structure was destroyed and the area remained in ruins from the 7th century until 12th century and the Crusaders rebuilt as well as many sections in Jerusalem.
In the 16th century the Ottomans, under Sultan Suleiman the Magnificent, added changes which included a prayer corner, colorful windows and a Muezzin tower on the roof.
In 1948, it was converted into a synagogue following the establishment of the State of Israel in 1948 and the Israeli Ministry of Religious Affairs began the process of turning the site into Israel's primary religious site.
3. Third floor : Muslim
Muslim Muezzin
On the roof, above the "Last supper"hall, there is a Muslim Muezzin call-for-pray tower, part of the Muslim mosque. Behind it, on the background, the the bell tower of the Dormition abbey.
(Third photo copyright@http://www.biblewalks.com/sites/DavidTomb.html)
Dormition Abbey
"Sleeping" Mary
According to local tradition, it was on this spot, near the site of the Last Supper, that Blessed Virgin Mary died, or at leat ended her worldly existence. In Orthodoxy and Catholicism, as in the language of scripture, death is often called a "sleeping" or "falling asleep", and this gave the original monastery its name, the church itself is called Basilica of the Assumption(or Dormition). In the Catholic dogma of the Assumption of Mary, Christ's mother was taken body and soul to heaven.
The Chamber of The Holocaust Museum & Memorial
It is a small Holocaust museum located on Mount Zion in Jerusalem. It was Israel's first Holocaust museum.
The site was founded in 1948 and the ashes of victims from the Oranienburg concentration camp are buried in this site. In contrast to Yad Vashem, the government's official Holocaust memorial museum established in 1953 on Mount Herzl - a new site symbolizing rebirth after destruction - Mount Zion was chosen as the site for the Chamber of the Holocaust because of its proximity of David's Tomb, which symbolically connotes ancient Jewish history and the promise of messianic redemption (through the Messiah, son of David).
The walls of the courtyard, several rooms and passages are covered with tombstone-like plaques inscribed in Hebrew, Yiddish and English, memorializing more than 2,000 Jewish communities destroyed during the Holocaust.
These plaques were generally sponsored by survivors from those communities and survivors hold memorial services here on the anniversary of their town's destruction.
*texts sources : wikipedia, brochures on site, websites below
http://www.biblewalks.com/sites/DavidTomb.html
http://www.biblewalks.com/sites/LastSupper.html
http://www.haeunchurch.com/board_ljxq48/5769