This is highly debabable. The Internet is admittedly littered (I use the word advidedly) with statements of the "Did you known that Venetian blinds were invented in Japan" variety, but there is never any further information to back up the claim.
If you search for "Venetian blind" on Wikipedia, you are redirected to Window blind. This has a section entitled Venetian blinds, but it doesn't mention Japan. In fact it's a subsection of a section entitled Persian blinds, which states that "Persian blinds, which consist of many horizontal slats, usually of metal or vinyl, connected with string such that they can be rotated to allow light to pass between the slats ... ". Venetian blinds, according to Wikipedia, were patented in England in 1760 and again (by a different person) in 1769. They were used in a church in Philadelphia in 1761.
Wikipedia also describes Shoji blinds, which it says are "based on Japanese Shoji Screens". These are different, apparently, from Venetian blinds, and indeed from Persian blinds (although the difference does seem to be rather technical).
Cooks Blinds and Shutters (.co.uk) tells us that "Venetian Blinds are unlikely to actually originate from Venice as their name suggests ... Some writers have argued that Venetian Blinds were created in Ancient Egypt when reeds were woven together into slats ... It seems doubtful, however that these blinds would have resembled anything like the Venetian Blinds we know today ... The Japanese and Chinese have also been credited with creating a form of Venetian Blind using bamboo slats."
Cooks continues: "Others cite Persia (modern–day Iran) as the home of this elegant window covering. Whatever the truth of the matter, it seems that it was the rise in international trading that brought products such as slatted blinds from Asia and the Middle East to places in Europe, such as Venice, in the 1700s. Some believe that it was freed Persian slaves migrating from Venice to France who helped to spread the knowledge of Venetian Blinds. Further evidence for the Persian theory might be found in the name the French use for shutters or blinds, which is les persiennes."
Bolton Blinds (that's Bolton in Greater Manchester) posted on Quora.com that "Although the early history of Venetian window blinds is mostly conjectural, they are thought to have originated in Persia, not Venice. Venetian traders discovered the window coverings through their trade interactions in the East and brought them back to Venice and Paris."
The reason that Venetian blinds are so known in English is probably because Venice was the first place in Europe that they were used (or traded). But in which country they originated seems to be pretty much a matter of conjecture. Most authorities seem to think that it was probably Persia, but Egypt, Japan and China are also suggested as possible candidates.
The odds would seem to be against Japan being the correct answer to this question. In truth, it probably shouldn't be asked in a quiz at all.
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