Gilberto (88) died on Saturday in his house in Rio de Janeiro. The family did not disclose the cause of death.
The musician's family, Brazilian celebrities and the public paid their respects in a public visitation that began on Monday morning in Rio de Janeiro's ornately marbled Municipal Theater.
Gilberto was buried later in a private ceremony in Niteroi, across Guanabara Bay from Rio.
"I want Brazil to be silent to hear Joao Gilberto. Let the Brazilians hear more Joao Gilberto," his widow, Maria do Ceu Harris, said ahead of the memorial ceremony, news website G1 reported.
Bossa nova is characterised by the combination of Brazilian samba music with "cool jazz."
Gilberto went on to popularize the genre globally with the album Getz/Gilberto with American saxophone player Stan Getz, selling millions of copies and winning several Grammy awards.
On that album, Gilberto sings The Girl from Ipanema, written by musician Antonio Carlos Jobim and poet Vinicius de Moraes, which would become one of the globe's most recorded and played songs of all time.
Musicians Gilberto Gil and Caetano Veloso took to social media to post videos performing tributes to Gilberto and recalling the enormous influence he had on their music.
"Joao Gilberto was the greatest artist my soul came into contact with," Veloso said on social media. "Before I was 18 I learned everything I knew from him and how to learn everything that was to come."
