The release date is almost eight months after memes mixing visuals from the film "Barbie" with atomic blasts provoked anger from people in Japan - the only country hit by a nuclear bomb during war.
The outrage over the "Barbenheimer" memes prompted an apology from Barbie distributor Warner Brothers Japan, which said at the time they were "extremely deplorable".
A spokesperson for Bitters End declined to comment on the release date or say why it took over half a year for "Oppenheimer" to be screened in Japan.
"We decided to release this film in Japan after much debate and deliberation, as the themes covered in this film are ones that hold a very significant and special meaning for us as Japanese people," Bitters End said in December, according to local media, when it said Oppenheimer would be released in Japan sometime in 2024.
The United States dropped a nuclear bomb on Hiroshima on Aug. 6 1945 during World War Two, killing thousands instantly and about 140,000 by the end of the year. The U.S. dropped another bomb on Nagasaki three days later, which killed more than 73,000 people. Japan surrendered on Aug. 15.
