Calm has returned to the streets of Pretoria following a chaotic march against immigrants on Friday..
"Part of the capacity needed by the AU is the establishment of the African Standby Force agreed to previously for rapid deployment in crisis areas without delays," Zuma said in a statement.
He called on the African Union (AU) to activate measures and ensure peace and stability on the continent.
South Africa looked forward to the next meeting of the African Union Peace and Security Council (AUPSC) to discuss the security situation and collectively find solutions to problems in the continent, he said.
Zuma condemned the kidnapping of over 260 Nigerian school girls by militant group Boko Haram.
"The government and the people of South Africa condemn in the strongest terms the abduction of school children in Nigeria by the armed group, Boko Haram and calls on the kidnappers to release the children without further delay," Zuma said.
Regarding the recent bombing and killing of civilians in Kenya, Zuma said the targeting of unarmed and innocent civilians was deplorable.
On Friday, a bomb attack in a Nairobi market left 10 people dead and scores wounded.
Zuma also called on the people of the Central African Republic (CAR) to work towards peace in their country.
The CAR has seen an ongoing conflict that has claimed thousands of lives of lives in that country.
"We urge all leaders in the CAR to unite the people behind a common vision of peaceful co-existence and national unity," he said.
He called on all parties to co-operate fully with the AU International Support Mission deployed in the CAR.