Former Cosatu general secretary Zwelinzima Vavi and EFF leader Julius Malema are plotting to overthr.
"There is no truth in the rumours that are in the Sunday papers. The president is not planning to wed."
The presidency was responding to reports in the Sunday Times and the Sunday Sun that Zuma was being courted by businesswoman Nomthandazo Mathaba-Mthembu.
The Sunday Times said that Mathaba-Mthembu arranged a 15-car convoy to Zuma's home under the pretext of delivering gifts, but once they arrived some of the women chanted customary courtship songs.