Some stars of The Interview have pulled out of media appearances
The Interview will be shown in some independent US cinemas on Thursday.
Sony Chairman Michael Lynton said he was ?excited? that the comedy, about a plot to assassinate North Korean leader Kim Jong-un, would now be seen.
Two cinemas in Atlanta and Austin have already revealed screenings.
They said via social media that Sony Pictures had authorised them to show the film, which has been at the centre of escalating tensions between the US and North Korea.
?Breaking news,? tweeted Tim League, founder of the Alamo Drafthouse cinema in Austin.
?Sony has authorized screenings of THE INTERVIEW on Christmas Day. We are making shows available within the hour.?
The development was welcomed by the film?s director Seth Rogen.
He tweeted: ?The people have spoken! Freedom has prevailed! Sony didn?t give up!?
Sony?s decision came hours after North Korea saw its domestic ?intranet? and connections to the wider internet effectively shut down for 10 hours.
The US has blamed North Korea for the Sony hack, which has led to sensitive data and unreleased film material being leaked.
President Obama has vowed to respond, but US officials declined to comment on who might have been responsible for the North Korea shutdown.
On Thursday, in the wake of threats against cinema chains that had planned to screen The Interview, Sony announced that the film?s release would be pulled completely.
Major movie chains in the US are thought unlikely to take part in the release at this stage.
Mr Lynton said: ?We are continuing our efforts to secure more platforms and more theatres so this movie can reach the largest possible audience.?
He also said he ?hoped it would be the first step of the film?s release?.
The company has yet to reveal further details of its release plans, but there is also speculation that video on-demand (VOD) will be offered as part of the package.