input: Article: Two others can see new patients - but only for a one-off course of treatment and for emergency appointments.
British Dental Association Wales said the problem lies with capped dental budgets for treatment.
Both Cardiff and Vale health board and the Welsh government said extra resources have been made available to improve patient access.
According to the health board's website, only one practice in Cyncoed and one dental surgery in Pentwyn have spaces for new NHS patients.
A surgery in Rhiwbina says it will see new patients for a one-off course of treatment, while another in Roath said it only had emergency appointments.
Richard Birkin, national director for BDA Wales, claimed NHS dentists' ability to take on new patients are limited by the "target-driven" contract they have with NHS commissioners.
"We believe a better way of delivering care to patients is to have a contract that is based on prevention, rather than targets, with an in-built flexibility to allow dentists to take on more new patients," he said.
"Work has been underway for several years to road-test this preventive approach. It's now time that Welsh government has prevention at the core of the dental contract."
David Oliver, the health board's dental and optometry primary care support manager, said it would be improving new patient access following Â£200,000 of additional funding from the Welsh government.
He added: "The majority of practices do however accept patients onto a waiting list and will select patients from this waiting list as places become available.
"This means that over 2,700 new patients were treated in the Cardiff and Vale UHB area in May 2015 alone with up to 4,400 new patients being treated in March 2015."
A Welsh government spokesman said the number of people accessing NHS dental services in the health board area had increased in recent years and "additional resources" had been made available to the health board.
"We are currently examining changes to the dental contract and have been piloting new arrangements, which build in greater equity for patients and contractors, while ensuring improvements are made around quality and prevention," the spokesman added.

Summarize.
output: Just two out of 48 general dental practices in Cardiff are accepting new NHS patients.
Article: The venue has been closed since the bomb attack at an Ariana Grande concert on 22 May, which left 22 people dead.
It will reopen on 9 September with a fundraising show featuring a number of north-west acts.
Noel Gallagher's High Flying Birds will be joined by indie bands The Courteeners and Blossoms, 1980s pop star Rick Astley, and poet Tony Walsh.
Walsh captured the spirit of the city when he performed his poem This Is The Place at a vigil the day after the attack.
Gallagher's appearance will also have particular significance - his song Don't Look Back In Anger became an anthem of unity in the wake of the bombing after a crowd started spontaneously singing it at a memorial.
The Courteeners also performed it when they played to 50,000 fans at Old Trafford cricket ground five days after the atrocity.
Gallagher's brother and former Oasis bandmate Liam appeared at the One Love Manchester benefit concert a week after that, but Noel did not.
More acts are still to be announced for the arena reopening concert, which is titled We Are Manchester.
All profits will go towards establishing a permanent memorial to the victims, which will be built by the new Manchester Memorial Fund.
Tickets for the show, costing £25 and £30, will go on sale at 09:00 on Thursday 17 August.
There will be extra security and ID checks, and fans have been asked not to bring bags larger than 35cm x 40cm x 19cm.
Councillor Sue Murphy, deputy leader of Manchester City Council, said: "No-one will ever forget the terrible events of 22 May but Manchester has reacted with love, solidarity and a determination to continue doing the things which make this such a vibrant city.
"We welcome the reopening of the arena, a major venue which attracts hundreds of thousands of visitors, as a powerful symbol of this defiant and resilient spirit."
Renovation work has been taking place in the venue's foyer, where the bomb was detonated.
The arena's general manager James Allen said: "May's events will never be forgotten, but they will not stop us - or Mancunian music fans - from coming together to enjoy live music.
"Manchester Arena has celebrated over 20 years hosting some of the greatest musical talent of all time, and the significant economic and cultural impact that this has on the city means that this legacy must continue.
"Public safety is always our priority and we are doing all we can to keep people safe at our venue."
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++++++++++
Summarize: Former Oasis star Noel Gallagher is to headline a special benefit concert to reopen Manchester Arena next month.
Question:
Article:The hosts, without victory since 12 January, edged the early stages and led through Saville's 18-yard curler.
The Rams, who themselves had endured an eight-match winless run prior to recent victories over Brentford and Blackburn, equalised through Chris Martin's free-kick from the edge of the area.
But Saville's header with four minutes left won it for Kenny Jackett's side.
The 22-year-old had never scored in 15 previous appearances for Wolves, and has spent time out on loan at Bristol City and Millwall since signing from Chelsea in 2014.
But his brace either side of Martin's goal on the stroke of half-time ended the home side's "rotten run" and kept Derby five points adrift of the automatic promotion places.
Wolves had carved out the better opportunities of an otherwise scrappy second half, with Matt Doherty having a goal correctly ruled out for offside and Bjorn Sigurdarson rattling the foot of the post.
Substitute Thomas Ince came closest for a disjointed Derby, curling a left-footed effort just wide, while two Jacob Butterfield sighters from long range stung the hands of home keeper Carl Ikeme.
Wolves manager Kenny Jackett:
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"I am pleased with the performance. I felt that it was a good response after losing at Brentford on Tuesday.
"You could see the passion that they had to play and hopefully now we can build on this win.
"With losing the last three games, you are quite often looking to scrap out a draw to try and stop the rot and turn the tide, and then build on that.
"We want to try and close the gap if we can between ourselves and the top sides.  We will be looking up the table and trying to draw back some very good teams."
Derby County head coach Darren Wassall:
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"We certainly deserved at least a draw. It would have been a brilliant week if we had got a result, whether it was a win or a draw, as we wanted to remain unbeaten over the week.
"So it is bitterly disappointing as I don't think we deserved that. Full credit to Wolves as they kept going, but two shots on target from the home side is tough to take.
"But we have to take the positives as team performances over the last three games have been excellent.
"The biggest disappointment of today is that we have conceded late on."

Summarize the main points of that article.
Answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
George Saville scored twice as Wolves beat promotion-chasing Derby County to end their seven-game winless run.