According to the BBC, social media images circulated recently showing band member Jimin wearing a shirt that said "Patriotism Our History Liberation Korea" with a photo of what appears to be a mushroom cloud.
The wildly popular superstars were due to perform on TV Asahi on Friday, but the station abruptly cancelled the show.
"The T-shirt that one of the members wore made headlines and became controversial", TV Asahi explained in a statement announcing the cancelled performance.
Despite the controversy over the top, some Japanese fans expressed disappointment that the BTS performance had been cancelled. It's said that the photos were taken on National Liberation Day of Korea in 2017, which marks the end of World War II, and by extension Japan's occupation of Korea.
The owner apologized to BTS for having caused offense with the product.
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He further said Ali was was the brother of a man arrested in relation to committing acts in preparation for a terrorist attack. Bourke Street reopened on Saturday morning, and a Reuters reporter said there was an increased police presence in the area.
On November 10, one Japanese media outlet reported that in addition to TV Asahi's 'Music Station' postponing BTS's appearance earlier this week, all other Japanese year-end music programs have now chose to withdraw their invitations for BTS to perform at their events.
It is unclear when exactly Jimin wore the shirt in question, but pictures of him in it started circulating online in October.
"I'm from Hiroshima. I can not accept BTS appearing on Music Station", said one Twitter user.
During the Second World War in 1945, two atomic bombs were dropped on the Japanese cities of Hiroshima and Nagasaki - the first and only time atomic bombs were used in a war.
The incident comes as ties between Japan and South Korea are once again strained over historical issues, with a court ruling holding Japanese firms liable for wartime forced labour claims roiling relations.