Members of the club during the 1980s formed a part of the Kuwaiti national team which reached the 1982 FIFA World Cup.

Kuwait SC has played matches in the following countries: Bahrain, Saudi Arabia, Qatar, UAE, Oman, Iraq, Syria, Jordan, Iran, Palestine, India, Indonesia, Uzbekistan, Hong Kong, Lebanon, Thailand, The Maldives, Tajikistan, Algeria, Tunisia, Morocco, Mauritania, and Egypt.

Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.

In August 2023, Kuwait SC won the Arab Handball championship tournament defeating El Zamalek of Egypt in the final that was held in the Eastern Province of Saudi Arabia.

Besides football, the club has teams for handball, basketball, volleyball, water polo, squash, athletics, gymnastics, swimming, boxing, judo, and weightlifting.