According to Official Guinness Records,
The most consecutive Olympic singles tennis gold medals is 2, achieved by Andy Murray (UK) at the 2016 Olympic Games, in Rio de Janeiro, Brazil, on 14 August 2016 Murray won his first Olympic gold medal in singles tennis in front of a home crowd at the 2012 London Olympic Games.
For a complete list of 2016 records, please visit 2016 Guinness Records in Brazil.