After the break the home side continued to push and fight but as the half wore on they started to look tired.
Lennon shuffled his pack from his seat high in the stand and switched to three at the back, but the Danes continued to look dangerous on the counter attack.
Kamil Wilczec's strike on just 17 seconds was the only goal of what was a pulsating European clash.
On matchdays shuttle buses run between Glostrup station and the stadium (as well as from Brøndby Strand station, south of the stadium).
On non-matchdays one can catch bus 500S (from Glostrup Station) in the direction of Ørestad St. After a 5-minute ride get off at stop Brøndby Hallen. Buses run regularly.
In 1990, the athletic tracks were removed, and further improvements were made to the stadium, including increased cover. After European successes in 1991 temporary scaffolding stands were erected, which brought capacity to 18,000. One year later the temporary stands were replaced with permanent ones.
Brøndby Stadion remained with limitations though, especially in terms of capacity, and by the turn of the millennium the club decided to embark on a major redevelopment program.
There are not many clubs in the Danish Superligaen who can pride themselves on having as much tradition and history as Brondby. Are you looking to get your hands on a Brøndby shirt, then you can find it right here on Unisportstore.com. BIF is a club that can boast many legends and big players in the Danish league. The club has won the Danish championship many a times, and the BIF tradition is a strong one.
Brøndby Stadion also regularly gets referred to as Vilfort Park, after former Brøndby player Kim Vilfort.
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The stadium is abit of a saga to get to if stopping in Copenhagen city centre. Train then bus. But the atmosphere is amazing . Best to ask local supporters about buses when coming out of the game. Easiest thing is to get a taxi to glostrup station
The Hibs fans howled for a penalty when new striker Grant Holt looked to be tripped inside the box but his theatrical fall may well have counted against him and the Spanish referee gave the international signal for 'get up and play on'.
The full-back was forced off injured but Hibs survived into extra-time.
Tickets for Brøndby games can be bought online, or at the Brøndby Shop at the stadium.
A furious Lennon made his feelings clear to the fourth official and was sent to the stand for his troubles.
The 24-year-old conceded five goals on his last outing in April 2015 - for Elgin City against Annan Athletic.
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The Edinburgh club had never won a European tie in 61 years after losing the home leg, but they came close to making history after deservedly prevailing in normal time.
When the shock wore off, Hibs began to settle and it was not long before they were pressing for an equaliser.
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Just before the hour, the 11,000 Hibs fans inside Easter Road erupted as Cummings smashed home a cute Martin Boyle cross from the right-hand side, but the assistant referee flagged for offside.
Pick out what print you would like on the back of your new Brondby shirt, or if you would rather have it plain. We can offer the football shirts that you want.
He did but the goal Hibs craved failed to come and they will travel to Copenhagen knowing they must find one on the road or their European adventure will be over before it has even begun.
Tickets generally cost DKK 140.00, with tickets for one of the short ends (standing + seats) going for DKK 110.00. Tickets for the derby against FCK are more expensive and cost either DKK 200.00 or DKK 230.00.
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Brøndby Stadion got built in 1964, though at that time consisted of nothing more than a pitch, athletics tracks, and some low earth banks. The dressing rooms were located in a yellow brick building away from the stadium, which meant that players had to move through the crowd to get to the pitch.
Cummings came close to celebrating his new four-year contract with a goal, but Frederik Ronnow in the Brondby goal fisted away his fierce 20-yard drive.
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Lebogang Phiri and Svenn Crone both sent shots wide of the target, while Teemu Pukki - a player signed by Lennon at Celtic - found himself in space inside the box but his tame effort was blocked.
Jason Cummings thought he had levelled in the first half but he was judged to be offside.
The decision led to Hibs' new manager Neil Lennon being sent to the stand in his first competitive game in charge.
It was reward for a sustained spell of pressure, but served to stir the hosts into life.
The prize of a tie against Bundesliga side Hertha Berlin however goes to Brondby, who kept their nerve in the shoot-out.
The visiting number one kept his side ahead shortly after when he got a fingertip to a dangerous Darren McGregor header. The equaliser looked to be coming.
Brondby.com – Official website of Brøndby IF. Visitcopenhagen.com – Copenhagen tourist information. Moviatrafik.dk – Information about Copenhagen bus travel. Dsb.dk – Check train times and fares. Rejseplanen.de – Public transport journey planner.
But it was 36 minutes before Hibs' debutant keeper Ross Laidlaw - taking over from Otso Virtanen after the Finn's first-leg howler - was called into action.
Intimate and modern arena with an amazing atmosphere. Great view over the pitch.
There is no direct bus connection between the stadium and Copenhagen city centre.
The Stadium Guide has been around for over a decade now and has grown from an obscure geocities page to one of the leading websites that cover the world of football stadiums.