Chasing a revised target of 128, Rassie van der Dussen top-scored with 35 off 24 balls but the innings was given great impetus by Nicholas Pooran, who struck 33 off just 15 balls while Jason Smith hit 22 off seven deliveries.
Pooran and Smith hit eight sixes between them with the West Indian starting the onslaught with five maximums.
Smith then came and showed why the Proteas selectors had faith in him for the upcoming T20 World Cup by clearing the boundary three times.
Karim Janat and Corbin Bosch then saw the Cape team over the line with four balls to spare for their first win in six matches this campaign for the defending champions.
The Super Kings were put in to bat at the toss after a delay of an hour due to rain and got off to a rapid start as Faf du Plessis and James Vince put on 32 inside three overs.
Vince was eventually dismissed by spinner George Linde for 15 while Dian Forrester fell cheaply to seamer Corbin Bosch.
The visitors were well placed on 69-2 after six overs before the play was interrupted by an another shower.
The players were off the field for an hour and 15 minutes and the game reduced to to 12 overs per side.
The visitors then lost momentum when play resumed and only another six overs left in the innings and they eventually added 54 runs for the loss of six further wickets.
Shai Hope and Lungi Ngidi delivered landmark performances as Pretoria Capitals beat Durban's Super Giants by 15 runs in a dramatic SA20 clash at Kingsmead.
Ottneil Baartman has put being left out of the Proteas squad for the T20 World Cup firmly behind him as he continues to impress for the Paarl Royals in the SA20.
Sikandar Raza has made a big impact in his first two games in the SA20 and wants to continue his success to open doors for other Zimbabwe players to feature in the league in the future.
MI Cape Town's defence of their SA20 crown slipped further on Sunday as Paarl Royals delivered a ruthless seven-wicket defeat at Newlands, condemning the champions to a fourth loss in five matches and leaving them stranded at the foot of the table.
