The British Government has asked the Duke of Cambridge to make the trip.
He will stay in Jerusalem at the King David Hotel, the former headquarters of the British administration during the mandate in Palestine before the creation of Israel in 1948.
He noted with pride that his great-grandmother had been recognized as a Righteous Among the Nations, the highest honour Israel grants to non-Jews who risked their lives to save Jews during the Holocaust.
Yad Vashem Chairman Avner Shalev is guiding Prince William through the memorial's exhibitions detailing the death of six million Jews systematically killed by Nazi Germany and its collaborators during World War II. The princess died in 1969, and in 1988 her remains were brought to Jerusalem.
Egypt goalkeeper El-Hadary becomes World Cup's oldest-ever player
The veteran goalkeeper dived to his right and flicked his left hand up to push the shot onto the bar before it was cleared. Saudi Arabia's Salem Al-Dawsari scores his team's second goal against Egypt during their World Cup match on June 25, 2018.
Mr Rivlin said: "I know you are going to meet President Abbas".
Britain captured Palestine from the Ottoman empire in 1917 during World War One and administered the territory under global mandate until 1948, pulling out a day before Israel declared independence.
Following his trip to Yad Vashem, where he toured the museum, laid a wreath in the Hall of Remembrance, and met two survivors from the Kindertransport, William wrote in the guest book that his visit was "profoundly moving".
Harry Kane now top scorer, sets new record against Panama
The rout was the first time England have scored more than four goals at a World Cup finals since winning the tournament in 1966. The last Englishman to achieve this feat was the Legendary Gary Lineker in the year 1986.
In a 1994 visit to Yad Vashem, Prince Philip, the Duke of Edinburgh, planted a tree there in his mother's honor.
Although not confirmed, local Israeli media have been speculating about Prince William visiting the three major religious sites in Jerusalem; the Church of the Holy Sepulchre, the al-Aqsa Mosque and the Dome of the Rock on the Temple Mount, and the Western Wall. The Palestinians claim east Jerusalem as their future capital.
Later in the day, William planned to meet young people participating in a soccer-based youth programme in Tel Aviv and deliver a speech at a reception at the British ambassador's residence.
The Foreign Office has said the prince's five-day Middle East tour, which began in Jordan, is non-political.
Gary Lineker's tweet after Harry Kane's emphatic penalty summed it up
And they're well on their way to doing that at half-time against Panama . " Panama is like a small young child in football". Panama's equal-sized army of red-shirted fans continued to dance and cheer on the "Canaleros" (Canalmen) to the end.
Just when we were beginning to think Meghan Markle and Prince Harry had Will and Kate beat for cutest royal couple, Prince William swooped in, giving a sweet (and Instagram-era appropriate) tribute to his wife of seven years.