Shag Musa Medani (; born 17 October 1948) is a Sudanese long-distance runner. He competed in the and at the 1972 Summer Olympics. Medani finished 13th in his 10,000 m heat in 29:32.8 minutes, failing to advance to the finals. He started but did not finish the marathon. In 1976, Medani set his marathon personal best of 2:28:18. Four years later, Medani improved upon his 10,000 m best, running 29:17.2. Medani competed at two subsequent editions of the World Athletics Cross Country Championships, qualifying for the senior races in and . At the 1975 race, he was the top Sudanese finisher on the team, leading the way to Sudan's 18th-place global finish. He improved his placing in 1977, but that year Sudan did not have enough finishers to score as a team.
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