Aereo CEO Chet Kanojia said Wednesday that the company's work wasn't done even through the Supreme Court has ruled its streaming TV service illegal.

"We are disappointed in the outcome, but our work is not done," Mr. Kanojia said. "We will continue to fight for our consumers and fight to create innovative technologies that have a meaningful and positive impact on our world."

It is unclear how Aereo will proceed following the ruling. An Aereo spokesman declined to elaborate on the statement.

Barry Diller, whose IAC/InterActiveCorp backs Aereo, told CNBC after the ruling that "We did try, but it's over now."

On Wednesday, the Supreme Court ruled that Aereo's technology, which allows subscribers to stream and record broadcast TV using without the broadcaster's permission, infringes on the networks' copyright.

"Today's decision by the United States Supreme Court is a massive setback for the American consumer," Mr. Kanojia said in the statement. "We've said all along that we worked diligently to create a technology that complies with the law, but today's decision clearly states that how the technology works does not matter. This sends a chilling message to the technology industry."

The justices in the 6-to-3 majority said their ruling will not discourage the emergence of different kinds of technology, but Mr. Kanojia disagreed.

"Justice Scalia's dissent gets its right," he said in the statement. "He calls out the majority's opinion as 'built on the shakiest of foundations' .... Justice Scalia goes on to say that 'The Court vows that its ruling will not affect cloud-storage providers and cable television systems ... but it cannot deliver on that promise given the imprecision of its results-driven rule.'"