Daryl Mitchell's runs had steered the hosts to their victories in Tauranga and Hamilton and when he departed for 44 to leave his team still 27 runs from their target on 196-8, the English scented an unlikely victory.
Left-arm spinner Liam Dawson returned to England Test set up after a gap of eight years, replacing injured Shoaib Bashir in the squad for the fourth Test against India.
England recovered from a disastrous start as captain Brook bludgeoned 135 from 101 balls and Jamie Overton made 46 to help their side finish on 223 all out in 35.2 overs for a fighting chance in the contest.
Images from Day 5 of the third Test between England and India at Lord's on Monday.
IMAGES from Day 2 of the third Test match between England and India at Lord's, London, on Friday.
Stokes, who sustained a hamstring tear in English domestic tournament The Hundred last month, is continuing his recovery along with Zak Crawley who fractured his right little finger at Edgbaston in July.
Ahead of England's five-match Test series against India at home, head coach Brendon McCullum hailed young all-rounder Jacob Bethell
Jacob Bethell scored his maiden Test century to lead an England rearguard action on the fourth day of the fifth Test on Wednesday but Australia still looked firmly set for victory.
England's Jacob Bethell will bat at number three for the first time in first-class cricket when he makes his Test debut against New Zealand at Christchurch's Hagley Oval on Thursday.
A dominant India hammered England by 150 runs to claim the five-match series 4-1.
Joe Root returned to England's one-day international squad for the first time since their ill-fated World Cup title defence in November
Scott Boland will step up and uncapped Brendan Doggett is tipped for a high-stakes debut to try to shore up the loss of a combined 604 Test wickets of experience.
IMAGES from Day 4 of the 1st Test between England and India at Headingley in Leeds on Monday.
England's Stokes praises Australia's Head, supports his own errant batters
Since Suryakumar took over as captain last year, India have hardly put a wrong but his own form has dipped.
Ganguly said he would have preferred Arshdeep over Prasidh Krishna.
This series begins a potentially era-defining period for Stokes and England coach Brendon McCullum, having enjoyed plenty of highs and lows over the past few years, with the Ashes series in Australia next up in the Test format, starting in November.
Ravi Shastri picked Rishabh Pant's dismissal in the first innings and Karun Nair's wicket in the second essay as the key moments that tilted the third Test at Lord's in England's favour.
England's stand-in captain Ollie Pope has no doubt that Chris Woakes will expertly spearhead their pace attack in the three-test series in Pakistan beginning in Multan on Monday.
Gill second successive ton as skipper takes India to 310 for 5
England took charge of the first Test against New Zealand on Saturday, riding Harry Brook's 171 to a first-innings lead of 151 before reducing the Black Caps to 155/6 on Day 3.
Ben Stokes, the man who had earlier lit up the field with a sensational century, didn't bowl a single over.
With the series nicely poised at 1-1 going into the third Test, the narrative built around both the teams has changed significantly following India's 336-run routing of England at Edgbaston.
Images from Day 4 of the second Test between England and India at Edgbaston, in Birmingham, on Saturday.
England's players hired Lime Bikes to reach The Oval, while the West Indies team were stuck in heavy road traffic in London.
Captain Shubman Gill and the ever-dependable K L Rahul gave India a glimmer of hope with resilient half-centuries after a well crafted hundred from Ben Stokes extended England's supremacy in the fourth Test in Manchester on Saturday.
England, who beat Pakistan by an innings and 47 runs in the first Test, will conclude the series with a third match in Rawalpindi from October 24.
Travis Head proved England's nemesis once again as he scored his second century of the Ashes to carry Australia toward a seemingly inevitable series triumph on day three at Adelaide Oval on Friday.
26-year-old Tom Banton, a wicketkeeper-batter, is currently the leading run-scorer in the UAE ILT20 competition.
Tilak Varma smashed an unbeaten half-century to steer India to a thrilling two-wicket victory against England in Chennai on Saturday.
England are set to host Australia for three Twenty20s, followed by a five-match ODI series. The first ODI will take place on September 19 at Trent Bridge.
England have named two uncapped players in Essex duo Sam Cook and Jordan Cox in the squad for the one-off Test match against Zimbabwe at Trent Bridge later this month.
Both teams have struggled in the ODI format recently. World champions Australia lost to Sri Lanka (0-2) and Pakistan (1-2) in their last two series, while England, now coached by Brendon McCullum in all formats, haven't won an ODI series since their disastrous 2023 World Cup campaign.
Former captain Michael Vaughan feels England panicked on the final day of the fifth Test against India in the absence of inspirational skipper Ben Stokes.
England's batter Harry Brook will lead the team in the One-Day International series against Australia as captain Jos Buttler recovers from a calf injury.
"Came here to give myself every chance to play just as batter": Stokes after being ruled out of Oval Test
K L Rahul drove his way to a sublime 47 after England negated India's advantage by totalling 465 in their first innings as the visitors had another ordinary day in the field on Day 3 of the first Test in Leeds on Sunday.
Former England batter Jonathan Trott impressed by India skipper's Gill's poise on Day 1 of 2nd Test.
'It's always frustrating to miss out. I've got some good things to focus on, so even though I'm not playing I've got a goal in mind.'
England pacer Brydon Carse is expecting the transitioning Indian team to put up a strong fight in the five-match Test series despite the recent retirement of Virat Kohli and Rohit Sharma, thanks to their "huge depth".