The home side ran in a record 10 tries as the Rebels disintegrated in the second half to suffer their heaviest defeat in the competition.
The Sharks had managed just three tries in their previous four matches in Super Rugby this season but found the going easy against a hapless Rebels side who was out-muscled in the forwards and out-run in the backs.
Coach John Plumtree was livid with his team's insipid display in their loss to the Brumbies last weekend and made seven changes for the visit of the Rebels. He got the response he had sought.
The home side led 24-0 at the break, with the blustery conditions making kicking difficult.
Two of the first half tries came from pure muscle though as loose-forwards Marcell Coetzee and Jacques Botes both mauled the ball over the line.
Full-back Louis Ludik had opened the scoring as he went over in the corner as the Sharks stretched the Rebels defence, while the fourth try in the first half came when Keegan Daniel just about managed to get the ball over the line from close quarters. It was one-way traffic in the second half as the Sharks ran in six more tries.
Hooker Kyle Cooper spotted a gap in the Rebels defence and ran the ball home from 20 metres out before scrum-half Cobus Reinach intercepted a wild Scott Higginbotham flick to sprint home from the halfway line.
Tendai Mtawarira scored his first Super Rugby try when he barged over the line and substitute loose forward Ryan Kankowski dazzled the Rebels defence with his line of running to canter in unopposed.
Daniel set Ludik in for his second, before Riaan Viljoen, who was on the pitch for Pat Lambie at fly-half, added the 10th try.
The Rebels did get a consolation through Higginbotham, but it will have done little to lift the mood of coach Damien Hill. The Sharks' previous biggest Super Rugby victory was a 53-11 win over the Western Force last season.
And the Stormers inflicted a first defeat of the season on the ACT Brumbies with a 35-22 victory at Newlands on Saturday after the Canberra-based side had pulled to within three points with 10 minutes to play.
However, errors in the closing stages allowed the South Africans to record a bonus-point win in the first away loss for the Brumbies in eight games.
Andries Bekker scored a brace of tries for the Stormers in a week in which he announced he was leaving the franchise for Japan at the end of the Super Rugby season.
"Last week we saw how effective the Brumbies are in the way that they play when they beat the Sharks. To win like that against a quality side was no mean feat," Stormers captain Jean de Villiers said.
After a Joe Pietersen penalty had put them ahead, the Stormers scored the first try of the game through a superb piece of individual skill from Springbok Gio Aplon.
The winger picked up an inside pass from Elton Jantjies and burst through the Brumbies backline. He still had plenty of work to do as he faced Brumbies fullback Robbie Coleman, but through some brilliant stepping he glided past the final defender and crossed the line unopposed.
Christian Lealiifano put the visitors on the board with a penalty but incessant Stormers pressure paid off with another try.
Awarded a kickable penalty, the home side opted to put the ball in the corner instead and were rewarded with Bekker mauling over the line.
The Brumbies hit back with a superb try from Henry Speight. The winger took the ball at pace and broke the Stormers line for a converted score.
The home side extended their lead once more just before halftime when Bekker got his second try. De Villiers picked up the loose ball after a Brumbies' mistake and burst towards the line.
The visitors scrambled back in defence but quick ball at the breakdown put Jantjies five metres out with plenty of options to his right. One of those was the giant Bekker and he had to just take the pass and fall over the line.
After trailing 22-10 at halftime, the Brumbies stepped up in the second, led by the brilliant work of flanker George Smith at the breakdown.
He won both possession and penalties for his side who closed the gap to three points before two Brumbies' mistakes allowed the Stormers to clinch the match.
The home side won a lineout against the throw and forced Fotu Auelua into an error at the breakdown that led to a penalty converted by Pietersen.
The Stormers then scored a bonus-point try as Gerhard van den Heever intercepted Peter Kimlin's wild pass to race in from the halfway line for a converted score.
"We came up against a very desperate Stormers side. We are reasonably happy with this tour, there are a lot of good things we can take from it. We go back to Australia in a reasonable position," Brumbies captain Ben Mowen said.