While in Israel, Odinga will meet Israeli government officials, including Prime Minister Mr Benjamin Netanyahu, Speaker of the Knesset Reuven Rivlin and Opposition leader Tzipi Livni in the city of Jerusalem for discussions on national security issues.
On Tuesday, November 15, the PM will open an international exhibition and the 3rd International Conference on Water Technologies, Renewable Energy and Environmental Control in Tel Aviv.
The PM will also visit historic Israel biblical cities and sites including Bethlehem, Nazareth, Capernaum and River Jordan. He will also lay a wreath at the Holocaust Museum in Jerusalem.
Cabinet Ministers Charity Ngilu and Prof George Saitoti will join the PM. Others travelling with him are assistant Minister Magerer Langat and Yatta MP Charles Kilonzo.
Before departure, Odinga held talks with the visiting former Nigerian President Olusegun Obasanjo at the Jomo Kenyatta International Airport.