At 1530 GMT, the rand traded at 18.6250 against the dollar, about 0.9% stronger than its previous close.
The dollar index was last down around 0.3% against a basket of currencies.
The U.S. central bank is expected to hold rates steady while investors look for clues on when they can expect a rate cut.
On the stock market, the Top-40 index fell about 0.1%.
South Africa's benchmark 2030 government bond was stronger in late deals, with the yield down 3 basis points to 9.750%.