Ibrahim Toure, a 28-year-old player with the Lebanon-based Al Safa, died in Manchester on Thursday. He had been suffering from cancer.
Reports had claimed the brothers would leave Brazil to be with their family, but a team spokesman said that they would remain at the World Cup.
A spokesman for the Ivorian Football Federation confirmed: "The Toure brothers, Kolo and Yaya, have decided to stay with the team. They are not leaving Brazil."
Ivory Coast face Greece in Fortaleza on Tuesday and a win will see them qualify for the last 16.
- Sports & Recreation
- Ibrahim Toure
- Yaya Toure