Peres shared this information with members of the UJC (United Jewish Communities) Prime Minister's Council Mission, whom he hosted to dinner at his official residence last week.
Peres said that he had heard many cantors, but none who could sing 'Avinu Malkeinu' like Streisand.
Peres said that he would like to bring her to Israel within the framework of one of the keynote 60th anniversary events, an international conference with the participation of "United States representatives of the highest level" along with some 3,000 to 4,000 invited guests from abroad.
The conference, which opens in Jerusalem on May 13, will be a three-day convention, with the first day devoted to the future of the world, the second day to the future of the nation and the third day to the future relationship between Israel and the Jewish Diaspora.
Peres revealed that part of the conference would be devoted to a special tribute to the United States of America as an expression of appreciation for its consistent support of Israel.
"After sixty years, it's time to say thanks for being on our side," said Peres.