Shimon was also capped 21 times for the Israel national basketball team and in 1965 was appointed as the head coach of the Israel national basketball team and under his guidance Israel qualified to 4 consecutive EuroBasket and finally in 1971 he left the national team.
Shimon juga bertanding sebanyak 21 kali untuk tim basket nasional Israel dan pada 1965 diangkat menjadi kepala pelatih tim basket nasional Israel dan di bawah panduannya, Israel terkualifikasikan dalam 4 EuroBasket berturut-turut dan akhirnya pada 1971, ia meninggalkan tim nasional tersebut.