Government says it will continue enforcing immigration laws, strengthening municipal bylaw enforcement and maintaining public order as demonstrations over undocumented immigration continue across South Africa.

Minister in the Presidency Khumbudzo Ntshavheni says government is not worried about the threat of weekly protests against undocumented immigration in the country, stating that demonstrations have been taking place regularly and that law enforcement agencies are managing them to ensure they remain peaceful.

Her remarks come after March and March leader Jacinta Ngobese-Zuma announced on Tuesday that supporters would take to the streets every Thursday until the government acted to remove undocumented immigrants from South Africa.

Addressing thousands of protesters outside SAPS Point in Durban after the march through the city, Ngobese-Zuma said the campaign would continue weekly until government responded to their demands.

"For as long as they haven't left, we are marching every Thursday," she said.