Near-complete voting results released early Saturday show that the party won 66.03 percent of the votes cast.
But it appears that the ANC might have just fallen short of its goal of winning a two-third majority — or at least 66.6 percent.
However, the final number of seats in the assembly is based on a complicated formula and has yet to be determined.
In any case, Zuma is expected to be elected president when the new assembly votes in May.
Cyril Ramaphosa is new President of South Africa