The Clarets looked to be heading for a draw until Brownhill delivered the sting in the fourth minute of added-on time.
Burnley had to come from behind after Callum Lang had given Pompey a lead against the run of play in the first half.
Jeremy Sarmiento levelled just two minutes after coming on as a second-half substitute, the Brighton loan signing firing inside the far post with a curling effort from the left side of the area.
Portsmouth had done their best to eat up the clock with a series of time-consuming injuries and substitutions a, before Brownhill struck.
Clarets boss Scott Parker insisted the ball fell to the right man in the dying minutes given the midfielder’s experience and composure in crunch moments.
“He gives you every bit of that experience and composure,” said Parker.
“He understands and has the nous around the football pitch and this division.
Denne historien er fra September 22, 2024-utgaven av The Football League Paper.
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Denne historien er fra September 22, 2024-utgaven av The Football League Paper.
Start din 7-dagers gratis prøveperiode på Magzter GOLD for å få tilgang til tusenvis av utvalgte premiumhistorier og 9000+ magasiner og aviser.
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IT'S LAST-GASP VALIANTS TO LEAVE STANLEY STILL WINLESS
PORT Vale manager Darren Moore praised his side’s fighting attitude after two last-gasp goals secured a point at winless Accrington Stanley.
JONES RAGES AT REF OVER HIS WHISTLE
NATHAN Jones was critical of referee Charles Break spear as his Charlton side lost at home to Blackpool.
PARKY LAUDS FIRE AS HOME
WREXHAM boss Phil Parkinson said it was a “tough afternoon” for his side despite a late win over Crawley.
BLUES CRUISE AT THE MILLERS
CHRIS Davies was impressed with his Birmingham City side after they cruised to victory at Rotherham.
RELIEF FOR WALTER AS HIS 'BRAVE' TIGERS WIN
TIM WALTER lauded the mentality of his Hull City side after the Tigers staged a second-half comeback to finally earn their first win of the season.
HECKY'S HEROES ARE THE CUP SHOOT-OUT KINGS!
JUBILANT Preston North End boss Paul Heckingbottom admitted he’d never seen anything like it after his side came out on top in the longest penalty shoot-out in Carabao Cup history.
HARRIS TAKES POSITIVES IN LIONS' SHOW
NEIL Harris was determined to adopt a ‘glass-half-full’ attitude after his Millwall side had to settle for a draw in an uninspiring London derby at QPR.
Bulut defiant in the face of the sack
EROL Bulut insisted he is capable of turning Cardiff’s fortunes around after a home defeat to Leeds signalled their worst start to a season since 1930.
SCOTT LAUDS BROWNHILL'S COMPOSURE
JOSH Brownhill earned the plaudits after the Burnley skipper’s late goal gave them a stoppage-time victory over Portsmouth.
EUSTACE REVAMP GATHERS SPEED
Shrewd boss has earned respect