The 32-year-old beat Russia's Valeria Koblova to win the -58kg freestyle wrestling division in Rio - as she has in every Games since Athens 2004.
Kaori Icho emerged victorious from a thrilling gold medal match to win her fourth straight Olympic title.
Icho left it late to secure her place in history, very late.
Amri is the first woman to win a medal for Tunisia in any of the current combat sports on the Olympic programme - wrestling, boxing, judo or taekwondo.
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Her teammate Saori Yoshida will have the opportunity to become a four-time gold medalist on Thursday in the 53kg weight class.
Sakashi's winning score came with even less time on the clock.
Dosho produced a two-point takedown in the final minute of the match to level the score at 2-2, and won the match on criteria.
It took a Mongolian, Orkhon Purevdorj, to in January bring an end to almost 13 years and 189 matches of invincibility at a grand prix competition in Russian Federation. An hour before Icho stood atop the podium they also celebrated gold in the women's 48kg category, the victor Eri Tosaka hoisting her coach on her shoulders for a victory lap of the mat. Russia's Valeriia Koblova Zholobova took silver, and India's Sakshi Malik, who won the second repechage, also took bronze.