The meetings will take place a day before Clinton and Trump face off in a first presidential debate but no details of where or when the meetings will take place were immediately available.
Netanyahu traveled to the United States this week to address the UN General Assembly and met U.S. President Barack Obama and a number of other world leaders.
Earlier this week, Clinton met Egyptian President Abdel Fattah al-Sisi, Ukrainian President Petro Poroshenko and Japanese Prime Minister Shinzo Abe who also addressed the UN General Assembly. Trump also met Sisi.