The win on day three in Wellington on Sunday, seven days after an equally comfortable eight-wicket victory in Christchurch, ensured England a first series win in New Zealand since 2008, with the Hamilton Test still to come.
Joe Root earlier secured his 36th Test hundred before England skipper Ben Stokes declared on 6-427 to present the Blacks Caps with a mammoth target of 583.
Blundell bucked his recent form with a 102-ball 115 but the damage had already been done to the New Zealand top order by England's rampant seam attack.
When Blundell was dismissed by a fine catch from Ben Duckett off the bowling of spinner Shoaib Bashir in the first hour of the final session, the writing was on the wall for the home side at 7-237 with only bowlers to come.
Stokes (3-5) brought himself on for the first time to remove Matt Henry (four) with his fourth delivery and ended Nathan Smith's innings on 42 in his second over.
He delivered the coup de grace for England's largest victory by runs over New Zealand when Tim Southee swung big looking for a six but only managed to find Chris Woakes at deep midwicket.
Test victory. Series victory. — England Cricket (@englandcricket) pic.twitter.com/kEtytT6sMMDecember 8, 2024
"Amazing to be stood here winning the series, in particular after being 4-43 on day one," said Stokes.
"I think Harry Brook and Ollie Pope were just amazing on day one, to go out there and play like that. That wicket, in cricket terms, is what we call a snake pit.
"To have the skill to be able to go out and play like that was just absolutely phenomenal."
England had resumed on a blustery morning at Basin Reserve on 5-378 looking to quickly inflate their already imposing lead of 533 before sending the Blacks Caps in to bat.
The orthodox Root has not been the most natural player of the Bazball style of aggressive batting England have played under coach Brendon McCullum.
But the 33-year-old showed a flash of creativity to secure his 127-ball century with a glorious reverse-ramp for the 10th of the 11 fours in his knock.
After Root edged behind for 106, Stokes raced off the field unbeaten on 49, keen to get his bowlers out and stuck in to the Black Caps.
Joe Root top-scored in England's second innings. (AP PHOTO)
Woakes did the early damage by bowling the hapless Devon Conway for a five-ball duck and having Kane Williamson caught behind off a thin edge for four.
The impressive Brydon Carse chipped in with a brilliant caught-and-bowled dismissal of Tom Latham for 24 before giving Ollie Pope more catching practice behind the stumps to remove Rachin Ravindra for six.
Daryl Mitchell and Blundell put together a stand of 47 for the fifth wicket before the former was caught behind off Gus Atkinson for 32.
New Zealand lost their last four wickets for 22 runs.
"We're obviously hurting," said Kiwi skipper Latham.
"It's disappointing to lose in that fashion, I think after the first innings, putting them under pressure. Harry played a fantastic innings there.
"Credit where credit's due. I thought that was a fantastic innings. You look down that scorecard, there's one guy that took it away from us."
