Keys for the Carioca Arena 2, which will also host boccia during the Paralympics, were handed to Rio 2016 President Carlos Nuzman by the city's mayor Eduardo Paes.
The pair were joined by Christope Dubi, the International Olympic Committee's sports director, and Brazil's new Sports Minister Leonardo Picciani, who was on his first official engagement.
After the Games, the venue will become part of the Olympic Training Centre - which organisers hope will be a major sporting legacy for Rio 2016.
Training facilities will be available for wrestling, as well as weightlifting, badminton, fencing, rhythmic gymnastics, trampoline gymnastics and table tennis.
Sarah Menezes, the Brazilian judoka who won under 48kg gold at the London 2012 Olympics, was among athletes who were also present at the launch.
The 26-year-old quadruple Pan American champion is among the big home hopes for success in Rio and was able to survey where her event will take place.
"To see everything ready like this is even more motivation," she said.
"It’s a sign that it’s nearly here, it’s close.
"It’s good to know that everything is on track, that the structural things are being sorted."
Another Brazilian hope, freestyle wrestler Joice Silva, added: "I am already starting to imagine, to visualise my day, how it is all going to be.
“Seeing everything ready makes me calmer, just being able to know where everything will be.”
A judo test event was held in March after a wrestling warm-up in January, but both were staged in Carioca Arena 1 as the Olympic venue neared completion.
The Riocentro Pavilion 6, the venue for boxing and sitting volleyball, was inaugurated earlier this month.