Opener and skipper Jon Wright top-scored with 33 after Burgess Hill were put in, Matt Were taking three wickets and Gary Mussen and Paul Hudson two each for S&S.
It was a tricky chase but 39 from Harry Dorgan and 30 from Craig Dawson eased the hosts home for a four-wicket win, with Robert Barnes and William Brownsell each claiming two wickets.
The win puts Tom Bell’s team seventh in the table. Burgess Hill are fourth, Turners Hill are top.
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1. Southwick and Shoreham CC v Burgess Hill CC 3rds pictures by Stephen Goodger (46).JPG
Southwick and Shoreham CC v Burgess Hill CC 3rdsPhoto: Stephen Goodger
2. Southwick and Shoreham CC v Burgess Hill CC 3rds pictures by Stephen Goodger (45).JPG
Southwick and Shoreham CC v Burgess Hill CC 3rdsPhoto: Stephen Goodger
3. Southwick and Shoreham CC v Burgess Hill CC 3rds pictures by Stephen Goodger (43).JPG
Southwick and Shoreham CC v Burgess Hill CC 3rdsPhoto: Stephen Goodger
4. Southwick and Shoreham CC v Burgess Hill CC 3rds pictures by Stephen Goodger (38).JPG
Southwick and Shoreham CC v Burgess Hill CC 3rdsPhoto: Stephen Goodger