The Black Caps hadn't beaten the Proteas in 17 previous Test series dating back to 1931, having lost 13 and drawn four.
New Zealand skipper Kane Williamson made headlines with his 31st Test century as the Kiwis took complete control of the first Test on Day Three against a depleted South Africa in Mount Maunganui yesterday.
Rachin Ravindra and Kane Williamson ground out unbeaten centuries as New Zealand punished a second-string South Africa on the opening day of the first Test at Mount Maunganui on Sunday.
Williamson added that New Zealand, who have never won a Test series against South Africa, will focus on playing their brand of cricket to gain crucial WTC points.
Star batters Kane Williamson and Rachin Ravindra were named Friday in the New Zealand squad for the two-match home Test series, starting next week, against an inexperienced South Africa side.
Williamson was already set to miss the third game on Wednesday, and with the first Test against South Africa less than three weeks away, Stead said his star batsman would probably sit out the final two games as well.
World class batter Williamson missed last month's ODI and T20 series against Bangladesh while he rehabilitated a knee injury sustained nine months ago.
Despite being named in the original squad, Williamson will undergo further rehabilitation after knee surgery last April, while Jamieson is nursing a hamstring injury, the Black Caps said.
Captain Kane Williamson will make his return to international Twenty20 cricket in the three-match home series against Bangladesh, New Zealand Cricket said Sunday.