The Sundance Film Festival has struck a deal with Apple to allow festival films to be sold through its iTunes store.
Redford founded the Sundance festival in 1981
Thirty-three short films being screened at the festival in Utah will be made available for download for $1.99 (£1).
They will also be streamed free of charge on Sundance's Web site when the festival kicks off on 18 January.
"Streaming on our site is not the same as owning, and there seems to be a world out there for both," said John Cooper of the Sundance Institute.
The films will be available on the Sundance website for three months only.
Filmmakers will get the bulk of the download price, with Apple, the Sundance Institute and cable television's Sundance Channel sharing the remainder.
So far, at least 33 of the 71 film shorts to be shown at the festival are slated to be distributed through the Sundance site and iTunes.
They will be made available for download from 22 January.
Mr Cooper said a few more will be shown on the website only, and added that he expected demand to be reasonably robust.
But he said there were no plans to make full-length festival films available online.
"What Sundance is really known for is as a platform for people to sell their films, and that's mainly the feature film," he said.
"We didn't want to really interfere with that yet."
Hollywood star Robert Redford, who founded the Sundance Film Festival, said short films were an important aspect of the annual festival.
"I have felt, from the earliest days, that if people really care about independent film, they should pay particular attention to short filmmakers, who are the best indicators of what is coming down the creative pike," he said.
The Sundance Film Festival is held each January in Park City, Utah.