The Wellington Rugby spokeswoman said it is expected to be the biggest Super Rugby crowd at Westpac Stadium in history.
Hurricanes chief executive James Te Puni said seeing the tickets snapped up so quickly has added to the excitement of a home final.
"This is going to be the biggest rugby occasion the Hurricanes, Westpac Stadium, Wellington City, and our fans have seen in the club's 20-year history.
"The whole region is experiencing the buzz of finals footy fever, culminating in the historic match this weekend as the two best performing teams in the competition and the fans come together at the home of the Hurricanes."
More tickets would be available on Wednesday morning, Te Puni said, when the balance of those held for members and commercial partners' needs were released back into the public domain.
Extra temporary seating for the occasion was also being considered, he said.
"Seeing a full stadium get in behind our team last Saturday was an extraordinary occasion. You only had to look at our guys' faces as they ran out onto the field to see what it did for them, and I'm sure it lifted the team's performance to feel and hear that passionate support.
"It's fantastic to realise we'll get to experience that all over again on Saturday night, and I have no doubt it will be a spectacle for all those who have managed to secure tickets. Bring on Saturday."
Tickets already being scalped
Some tickets have already appeared on the auction site Trade Me, which was immediately met with outrage from other users of the site.
One listing asked for $399 for two seats "located generally behind the goal", with the seller saying they had "got too many when purchasing with friends".
"It's losers like you who have spoiled it for everyone else", one user quickly posted below the listing.
Another said: "Scalping is not cool".
But at least one person was interested in the sale, asking: "If I get these are they an email ticket, as I would want asap".
The seller replied: "Yes, they are."
The listing was removed soon after.
Official prices for those lucky enough not to have to resort to scalpers range from $35 for adult bronze tickets, to $75 for platinum seats under cover.
Children's prices range from $20 to $30 and family group tickets for up to two adults and three children are listed on the Hurricanes website at $95.
Meanwhile, another listing on Trade Me was selling tickets for $300 each.
The seller said the seats were located in aisle nine, centre of the ground, and were undercover and "away from the elements".
"If you need more than one ticket, use the quantity selection tool to select how ever many tickets you need," the listing said. [sic
]The seller warned people against making negative comments.
"Any abuse and you will be instantly blacklisted."Instead, eight different Trade Me users eagerly commented below the listing with interest, asking how many they could get and if the seats were next to each other.
At 5.08pm, the seller said they only had six tickets left."Be quick though", they posted.
Hundreds queue for tickets
Hundreds of Hurricanes rugby fans are queuing outside a city box office hoping for a much sought-after ticket.
A line outside the ticket office at the Michael Fowler Centre began to form early in the afternoon and by 5pm it was filled with hundreds of hopeful people, snaking their way down the road.
One lucky couple managed to get tickets at the Hurricanes versus Highlanders match right next to each other.
Complete with foldaway chair, Hamish Sail arrived at the ticket office just after 2pm, two hours before tickets went on sale. He said the wait was "worth it".
Partner Hannah Blackwood joined him later and the pair were rewarded with spots at the stadium, although their friends missed out.
"We've been there for every game bar the one against the Warratahs," Mr Sail said.
The Hurricanes lost that one, while the pair were on holiday up north - cheering the Hurricanes on in their supporters' tops from a caravan in Kerikeri.
The pair said they felt sorry for those who had been to every game during the season, but missed out on the big match.
"Supporting the Hurricanes and missing out after the whole season would be rough," Mr Sail said.
But, they were happy with their spots, although they were uncovered.
"They're good tickets but we're going to get wet."
Near the back of the line were Sue Piper and Eleanor Jamieson, who remained hopeful of picking up tickets.
Ms Jamieson tried unsuccessfully to book them over the internet and rushed down to join the growing throng.
"I thought how could they have sold 35,000 tickets in 20 minutes?"
A long wait didn't phase Ms Piper, whose husband was checking in via mobile phone from Taranaki.
"We'll make the best of it," she said.
"We'll send people off for coffee."
Air NZ calls in extra jet
Air New Zealand is pressing a jet from its international fleet into Super 15 rugby final duties on Saturday after extra seats for Dunedin to Wellington sold out in under an hour this morning.
The airline intends offering an extra 230 seats for sale this afternoon for fans heading to the capital on Saturday morning for the final between the Highlanders and the Hurricanes, after requisitioning a Boeing 767 for the task.
It will also operate two extra Airbus A320 services back from Wellington to Dunedin, one on Sunday night subject to air traffic control clearance, and the other on Monday morning to take Highlanders fans back home to Dunedin.
All seats on all three services will be sold at a flat rate of $219 each.
This morning's sell-out was of 50 extra seats from Dunedin to Wellington on Saturday, and 68 return tickets on Sunday.
Chief marketing and customer officer Mike Tod said the airline had worked hard to come up with extra flight options for the fans.
"This weekend is always a busy one for us as the school holidays get underway," he said.
"With our domestic fleet fully committed, our only option was to think big - utilising a [Boeing] 767 from our international fleet to get hundreds more supporters to the game."
An airline spokeswoman was unable to say exactly when the extra tickets would go on sale, except that the airline planned to make them available this afternoon.
Tickets to the game itself went on sale to the general public at 4pm today, after about 3644 went earlier to Wellington Rugby Football Union members.