SANParks said while the Newlands Forest area would reopen, other affected areas remain closed to the public.
The fire, which started on Sunday morning, has destroyed around 650 hectares of the park.
Newlands Forest will reopen to the public on Saturday, almost a week after a wildfire swept across Table Mountain National Park (TMNP).
Paths that will be reopened to the public include; Newlands Forest, Devils Peak towards Platteklip footpath, Molteno jeep track towards Kloofnek, Atlantic Seaboard (Camps Bay, Kasteelspoort etc), Constantia Nek, Lions Head, Signal Hill, and Cecilia Forest.
According to TMNP Park Manager, Frans van Rooyen, permitted recreational activities in the reopened areas mentioned above will continue as before, including hiking and dog walking with visitors, "... kindly requested to remain on demarcated footpaths and to be mindful of rules pertaining to keeping dogs under control".