The Presidency said in a Twitter post that the conversation is expected to take place later on Monday, News24 reported.
It will be the the first time the two presidents speak since Trump was inaugurated in January.
Zuma had sent a congratulatory message to Trump after he won elections in November and said he looked forward to building on the relations that exist between the countries, including promoting peace and security, especially on the African continent.
It is still unclear if Trump's administration would priorities US-Africa relations.