The chief executive officer of Festival Network, the national entertainment promoter that has held a concert in Ocean Park featuring the Boston Pops for the past two years, has said the future of the concert is in doubt, largely because it lost money last year.

CEO Chris Shields has also leveled harsh accusations at the YMCA of Martha’s Vineyard, saying that the nonprofit organization still owes his company thousands of dollars from ticket sales last August.

The concert last year was set up as a partial fund-raiser for three Vineyard nonprofits: the YMCA, Vineyard House and the Friends of Oak Bluffs.

There was some controversy in the months leading up to the concert, beginning with whether the Oak Bluffs selectmen would even allow the concert to take place in Ocean Park. Questions surfaced about whether the concert was truly a charity benefit or simply a private, for-profit venture.

After soliciting an opinion from town counsel, selectmen learned that it basically came down to a judgment call on their part.

In the end they allowed the concert to go forward, but only after Festival Network organizers assured them that there was a fund-raising component to the concert.

The three nonprofits entered into an agreement to purchase tickets from Festival and then resell them for fund-raising purposes. The company allowed each of the nonprofits to buy several hundred tickets at face value and then sell them at a higher price and keep the difference.

Mr. Shields now claims that the YMCA never settled its tab.

“Sadly, it takes just a few to spoil the broth for the entire community. As a result of treatment like that of the YMCA last year, who solicited us, profited greatly from the [concert] and then disingenuously breached their contract, we may be better off cutting our losses,” Mr. Shields wrote in an e-mail to the Gazette last month.

Mr. Shields declined to provide additional details, and attempts to reach him at his office in New York this week were unsuccessful.

But in an e-mail he did not rule out a return by Festival Network to the Vineyard, either this year or in the future.

“We thank from the bottom of our hearts all those that really do care and want to build something lasting and special. We’re always open to ideas and suggestion,” he wrote.

Christine Todd, development director for the YMCA, said she was surprised by the accusations from Festival Network, and she questioned why Mr. Shields singled out one nonprofit when three had entered into an agreement with the company.

“We do not have a stronger or weaker voice than the other three nonprofits, just an equal voice. I am not sure why he went after the YMCA,” she said.

Ms. Todd also said she could not comment on the details about the YMCA’s arrangement with Festival Network last summer. But she did say that the three Island groups who were involved in the concert have tried to arrange several wrap-up meetings in recent months, but the company cancelled the meetings each time for various reasons.

John Clese, executive director of the YMCA, concurred.

“All I can really say is we would welcome the chance to sit down with them and bring closure to several lingering issues. For whatever reason, those meetings have not happened . . . all I can say is we are willing to make that [meeting] happen,” Mr. Clese said.

John Early, a board member for Vineyard House, also said there were issues with last year’s concert that he was unable to talk about. He did say the nonprofits were disappointed with Festival Network’s handling of the concert, noting the company failed to provide specific details about ticket prices and performers until only a few weeks before the event.

“We had six weeks to put the whole thing together. Overall I would say the concert was poorly managed . . . it wound up being a lot of work for a minimal gain. For the people who attended the event, the experience overall was good, but that was because we worked overtime to make it a positive experience,” Mr. Early said.

Part of the dispute reportedly centers on inconsistencies in the ticket-pricing scheme.

One person who helped organize the fund-raiser who asked not to be identified, said Festival Network sold tickets to the nonprofits at one price and later increased the cost and asked for more money.

Mr. Early would not comment on that, but he did say the fund-raising concept of buying tickets from Festival Network and then reselling them at a higher price proved problematic.

“We were basically scalping tickets for Festival Network,” he said.