Earlier, long jumper Ese Brume won the first bronze for Nigeria.
Oborududu lost 4-1 to her opponent USA’s Tamyra Mensah-Stock in the final of the women’s freestyle 68kg on Tuesday (today).
Oborududu is the first Nigerian wrestler ever to win a silver medal at the Games.
Oborududu, who is also the first-ever Nigerian to win an Olympics medal in wrestling, qualified for the final after defeating Mongolia’s Soronzonboldyn Battsetseg 7-2 in the semi-finals.
She had earlier defeated Kyrgyzstan’s Meerim Zhumanazarova 3-2 in the quarter-finals, after seeing off Azerbaijan’s Elis Manolova in the Round of 16.