"This is the dream of a continent," said Alejandro Dominguez, president of the South American Football Confederation (CONMEBOL).
"There will be more World Cups, but the Cup only turns 100 one time, and it needs to come home," Dominguez said in an event at Montevideo's Centenario Stadium, where Uruguay defeated Argentina to win the first ever World Cup.
Argentina and Chile have since also hosted the games, in 1978 and 1962, respectively.
"It's just for the World Cup to be hosted where it all began 100 years later," Ignacio Alonso, president of the Uruguayan Football Association, told reporters.
Dominguez said there are "more than sufficient" reasons for FIFA to accept the four countries' single candidacy.
The 2030 World Cup will follow the 2026 World Cup, which will be jointly hosted by Canada, Mexico and the United States.
For now, the South American countries' top competition appears to come from Spain and Portugal, who submitted a joint bid to host the tournament last month.
