Gordon Igesund’s men have moved up to 60th in the world, and are now number 10 in Africa.
AFCON champions Nigeria have risen 22 places to 30th in the world and fourth on the continent, with Ivory Coast, Ghana and Mali above them.
Beaten finalists Burkina Faso were the biggest movers, up 37 places to ninth in Africa and 57th overall.
Spain still lead the overall rankings, followed by Germany, Argentina and England. 2014 World Cup hosts are struggling down in 18th place.
TOP 10 African countries
1. Ivory Coast (12th)
2. Ghana (19th)
3. Mali (25th)
4. Nigeria (30th)
5. Algeria (32nd)
6. Tunisia (42nd)
7. Zambia (47th)
8. Central African Republic (51st)
9. Burkina Faso (57th)
10. South Africa (60th)