McDermott posted a second successive match-winning innings after being promoted to open last week, pilling on an unbeaten 110 from 60 balls.
The awesome knock included five sixes and a dozen fours in a score of 3-176 as the 27-year-old right-hander helped steer the Hurricanes past the victory target with nine balls to spare.
McDermott's blistering innings backed up his 67 off 43 balls in a victory over Melbourne Stars on Christmas Eve.
The back-to-back home wins have levelled the Hurricanes' season record at 3-3, lifting them to third on the table after a slow start.
Adelaide are at the other end with a 1-5 record on the back of four consecutive losses.
McDermott and D'Arcy Short both blasted sixes out of Blundstone Arena as they took to a Strikers bowling line-up that suffered some damage in the field.
Peter Siddle copped a knock to the left thumb he broke last year and Wes Agar dislocated a finger on his right hand.
Both carried on and Siddle made an important breakthrough when was judged to have trapped Short lbw, ending his 81-run partnership with McDermott.
It completed a power surge in which the Hurricanes managed just 1-14 off Siddle and Rashid Khan.
A furious Short (37 off 32) disputed the dismissal, seemingly of the belief he'd made contact with the bat before the ball hit the pad.
It didn't make a difference in the overall scheme of the match as McDermott went on with the job.
Earlier, Matt Renshaw (63 off 41) and Jake Weatherald (51 off 43) posted controlled half-centuries for Adelaide and some late hitting from Thomas Kelly (28 off 18) lifted the visitors to 5-175 after they won the flip and elected to bat.
But they managed just one six for their entire 20 overs, when Kelly hit Riley Meredith over the boundary in the 19th over.
Hurricanes quick Meredith (3-37, four overs) removed both Renshaw and Weatherald in an important contribution.