The Metropolitan Opera has been transmitting performances live for a decade. The National Theater in London jumped on board a few years later. But Broadway, facing both financial and philosophical obstacles, has been slow to join the trend.

Now, after years of start-and-stop progress, Broadway is passing a milestone: On Wednesday, the nonprofit Roundabout Theater Company, which with three Broadway theaters is one of the industry’s most prolific producers, said it had agreed to allow a live stream of a much-praised musical revival, “She Loves Me,” which is running through July 10 at Studio 54.

The event will be streamed by BroadwayHD, a new company seeking to broadcast theater performances, on June 30. It will be the first time a Broadway show has been streamed live, the company said. Unlike the broadcasts by the Met, the National Theater and several European opera and ballet companies, it will be available not in movie theaters but on the internet, Roku and Apple TV.

“I think it will create more interest in Broadway,” said Todd Haimes, the longtime artistic director of the Roundabout. “There used to be this feeling, if a movie was made of a Broadway show, that would kill the Broadway show. Then something happened. It was called ‘Chicago.’ They made the movie, and the ‘Chicago’ sales went through the roof.”