Kaka was initially called up as an injury replacement for Douglas Costa after the Bayern Munich midfielder suffered a thigh injury.
However, Orlando City's Kaka was ruled out for at least the next 20 days after scans revealed a hamstring strain.
The 34-year-old is replaced in Brazil's 23-man squad for the Copa America, held in the United States for the first time, by former Sao Paulo teammate Ganso.
The Brazilian Confederation has confirmed that Kaká has sustained a muscle injury and will not be participating in @CA2016 .— Orlando City SC (@OrlandoCitySC) June 1, 2016
Ganso, 26, has not played for Brazil since coming off the bench in a 2-1 international friendly win over Bosnia-Herzegovina in 2012.
Before that, the attacking midfielder had started every game of Brazil's 2011 Copa America campaign, where they were eliminated in a penalty shoot-out against Paraguay in the quarterfinals.
Drawn in Group B, Brazil will face Ecuador on June 4 before facing Haiti (June 8) and Peru (June 12).