Dadzite, competing in the F55 group, threw the discus 22.66 meters, setting a new personal best.
China's Dong Feixia won the gold with 25.03 meters, while Marianne Buggenhagen won silver medal with a result of 24.56 meters.
She tweeted her reaction to the win.
I'm so happy!! my first paralympic games, and two medals!! Gold+world record and great bronze!!… https://t.co/9amrfTmtaD— Diana Dadzite (@DianaDadzite) September 18, 2016
As previously reported, Dadzite set a new world record of 23.26 meters, in the women's javelin throw at the Paralympic Games a week earlier.
Earlier Aigars Apinis won gold in the men's discus throw, while Edgars Bergs won bronze in the men's shot put.