The 24-year-old wrestler had earlier spoken about Satyawart in the media.
"It was a private function. Only the families of the to-be bride and groom attended the event and it went very well," Satyawart's father Arjuna Awardee Satyavan Pehelwan said.
Satyawart, 22, is two years younger to Sakshi and trains at his father's akhada in Rohtak. He won his first bronze medal at the 2010 Youth Olympics.
The two were said to have fallen in love during wrestling tournaments.
About Satyawart, Olympic bronze medallist Sakshi had earlier said, "He is very supportive and thinks of my dreams as his own."