Dussuyer has signed a two-year deal with the option to extend the contract after beating off competition from another Frenchman, Frederic Antonetti, and the Pole Henryk Kasperczak, who was last week named as the new Tunisia coach.
The 56-year-old Dussuyer, who had an unremarkable playing career as a goalkeeper, is familiar with African football.
That was his second spell in charge of Guinea. In between he worked as an assistant to Henri Michel with the Ivory Coast and had a spell as coach of Benin.
Frenchman Renard coached the Elephants to victory at this year's Cup of Nations but quit in May to take charge of Ligue 1 club Lille.