Brazil also won the second group match in the Copa América on Thursday night (Dutch time).
Led by an emotional Neymar, the 'Seleção' in Rio de Janeiro was 4-0 too strong for Peru.
Left back Alex Sandro opened the scoring.
Neymar scored his 68th international goal midway through the second half, with substitutes Everton Ribeiro and Richarlison upping the score in the closing stages.
The 29-year-old Neymar is second on Brazil's all-time scorers list with his 68th goal, now nine goals less than legend Pelé.
It does the star player of Paris Saint-Germain a lot.
"It is a huge honor for me to be part of Brazilian football history," said an emotional Neymar after the game.
"To be honest, it was always my dream to play for Brazil and wear this shirt. I never dreamed that I would reach such numbers."
Brazil had already won the first group match against Venezuela 3-0 and plays Colombia and Ecuador in the group.
In the other group are Argentina, Uruguay, Chile, Paraguay and Bolivia.
The number five in each group is eliminated.