From what I can see, it was only released in Japan on VHS. It remains unreleased on any other format in the country. The copy on Youtube comes from its Polish DVD release which is as far as I know, the uncut Japanese version with Japanese credits. It has no English subtitles but the Japanese audio is there.
https://www.amazon.co.uk/Ozu-mahôtsukai-Region-English-version/dp/B0086D4IN8