Zuma would head the list of dignitaries at the function at the city’s International Convention Centre (ICC).
Confederation of African Football (CAF) president Issa Hayatou would also be present, and the draw is expected to be conducted by CAF secretary general Hicham El Amrani.
The guest list, of about 2000, would also include association heads from the other 15 qualified countries.
The tournament will be held from January 19 to February 10 in five cities across South Africa.
In the final line-up are: defending champions Zambia; Algeria; Angola; Burkina Faso; Cape Verde Island; Democratic Republic of Congo; Ethiopia; Ghana; Ivory Coast; Mali; Morocco; Niger; Nigeria; Togo; Tunisia; and South Africa.
The draw will be broadcast live on SABC Sport and SuperSport from 8pm.