Andy will look to retain his Olympic crown after defeating Roger Federer to win gold in the men’s singles final at London 2012.
The Murray brothers will be joined in the GB team in Brazil by world No 18 Johanna Konta, who will make her Olympic debut, and Heather Watson, who returns for her second Games.
Andy Murray’s straight sets victory over Federer at the All England Club four years ago was a watershed moment for the Scot who went on to make his major breakthrough later that year by winning the US Open.
Murray also claimed an Olympic silver medal in the mixed doubles in London alongside Laura Robson.
He and older sibling Jamie proved integral to Great Britain’s Davis Cup triumph in 2015.
Andy Murray said: “Playing for Team GB during London 2012 gave me some of the best memories I have in sport.
“Being a home Olympic Games, it was such a special occasion and the atmosphere at Wimbledon was like nothing I have ever experienced.
“Winning medals for your country is as good as it gets and I can’t wait to get to Rio to try and win more medals.”
Jamie Murray said: “I’m very pleased to have the made the cut for Rio and to play my third Olympic Games. Having won the Davis Cup last year for Great Britain there’s nothing better than representing your country and to do with someone from your family is a real bonus.”
Konta, meanwhile, has enjoyed a breakthrough year in 2016 after she became the first British woman in 32 years to reach a Grand Slam semi-final after getting to the final four of the Australian Open.
Team GB have amassed more tennis medals than any other nation at the Olympic Games with 44 and sit second in the medal table behind the USA who have 20 gold medals to Team GB’s 17.
All four of the players earned selection by virtue of the world rankings. The selection of the tennis squad brings the total number of athletes selected to Team GB for Rio 2016 to 122.