Noman and Sajid knocked over all 10 England wickets to dismiss the visitors for 112 as Pakistan raced to victory in Rawalpindi before lunch on day three of the third Test.
Captain Shan Masood hammered five boundaries in six balls, launching Shoaib Bashir over the ropes to complete a resounding victory, Pakistan's first home Test series win since beating South Africa in February 2021.
"We'd like to dedicate this to the people of Pakistan, who've been through a lot," said Masood, who had lost his previous two series -- 3-0 to Australia and 2-0 to Bangladesh -- since taking charge last year.
"Hopefully this will put a smile on people's faces, and hopefully we can have full houses during matches."
The 2-1 series win appeared improbable after England destroyed the hosts in the first Test in Multan by an innings and 47 runs, leading to the axing of superstars Babar Azam and Shaheen Shah Afridi, as well as pacer Naseem Shah.
Pakistan’s Shan Masood (left) receives trophy after winning the series in Rawalpindi, Pakistan, on Saturday. AP
Replacements Noman and Sajid turned the series on its head, knocking over 39 wickets between them in the subsequent two Tests. Pakistan took the second match by 152 runs, also in Multan.
"The first win came after a long time and it was backed up by a series win. It's special," Masood said.
"For everyone, to stand up and give their best, it means a lot. It's about character. To be here and standing as the winning team, it's the most special thing for us."
Noman finished with figures of 6-42 and Sajid 4-69 after England resumed the day on 24-3 but were dismissed in 37.2 overs for their lowest total in Pakistan.
‘Disappointing’
Joe Root top-scored with 33 while none of the other England batters could last long enough to stop Pakistan's charge to victory.
England's previous lowest total was 130 in Lahore in 1987.
Pakistan's Noman Ali (left) and Sajid Khan celebrate as they walk off the field in Rawalpindi on Saturday. AFP
"It is disappointing," said captain Ben Stokes. "We got thrown some challenges over these last two games and weren't able to stand up to them.
"Credit to Pakistan on this win."
England's fate was sealed once Noman dismissed overnight batsman Harry Brook caught behind by Mohammad Rizwan for 26 and Stokes leg-before for three.
The England captain once again fell in bizarre fashion, offering no stroke to a Noman delivery he judged to be going down the leg side and getting struck him in front of the stumps.
Stokes, who missed the first Test with a hamstring injury, managed just 53 runs in four innings.
Sajid made it 75-6, dismissing Jamie Smith who tried to hit him out of the ground only to miss the ball and lose his stumps for three.
Noman completed his sixth five-wicket haul when Root edged a sharp turning delivery to Rizwan, quashing all hopes of an England fightback.
Sajid dismissed Rehan Ahmed for seven while Noman wrapped up the innings by bowling Jack Leach for ten.
Pakistan suffered a minor hiccup when opener Saim Ayub fell for eight but Masood's six-ball 23 not out ended the match and delivered his first series triumph as captain.
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