The toss was originally delayed at Kingsmead due to drizzle, with the game eventually called off without a ball being bowled as the weather conditions worsened.
Both teams take two points from the tie, to leave Sunrisers top of the standings with 19 from six matches, and the Giants in fifth place on 10 points from seven matches.
It is the third time DSG have seen one of their SA20 matches abandoned and the Sunrisers' second.
The Pretoria Capitals and MI Cape Town were the day's winners as the SA20 competition enjoyed a rare interruption-free Saturday following a run of rain-affected matches earlier in the week.
James Vince struck a fluent 75 to lead Joburg Super Kings to 187 for six, but persistent lightning forced the SA20 clash against Paarl Royals to be abandoned at the Wanderers, with the sides sharing the points.
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.
MI Cape Town recorded their first win of the SA20 season after a four-wicket victory against Joburg Super Kings in a match that was reduced to 12 overs per side due to rain at Newlands.
