Tessmann is a surname. Notable people with the surname include:
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Bernhard Tessmann (1912–1998), German scientist
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Brad Tessmann (born 1960), Australian rugby league player
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Günter Tessmann (1884–1969), German anthropologist and explorer
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Heath Tessmann (born 1984), Australian rugby union player
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Tanner Tessmann (born 2001), American soccer player
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