The company will present a showing of the film at The Troxy in London this coming Friday 15 August, with simultaneous screenings taking place across the UK and beyond.
All proceeds from the events will go towards mental health charity Mind, after it was revealed that the Hollywood actor had been battling severe depression.
Secret Cinema are encouraging movie fans to join in “wherever you are” and celebrate the “extraordinary spirit” of a much-loved star by setting up their own screenings on Friday night.
A special email address, firstname.lastname@example.org, has been created for fans to let Secret Cinema know that they will be taking part.
For those keen to attend The Troxy, doors will open at 7.30pm before the film starts at 8.30pm. The event's Facebook page promises "live music, lovely food, poetry, special guests and much more".
A short 'In Memoriam' film remembering Williams' work will be shown and audience members will be able to write their own condolences.
Tickets will be available here from 1pm this lunchtime, priced at £25 each.
A poster promoting the screening includes the famous Dead Poets Society quote: "Carpe diem. Seize the day, boys. Make your lives extraordinary."
Robin Williams: A career in pictures
Robin Williams: A career in pictures
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1980: Robin Williams in the world-famous Mork and Mindy series that launched his career.
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1984: Williams in 'Moscow On The Hudson'. The actor earned his first Golden Globe nomination for his turn as a Russian circus performer in this 1984 hit.
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1987: Williams in the critically acclaimed 'Good Morning, Vietnam'. Williams ad-libbed all the radio broadcast scenes from this 1987 film about a radio DJ sent to Vietnam to entertain the US troops serving out there.
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1989: Robin Williams appeared with Robert Sean Leonard and Josh Charles in 'Dead Poets Society' as English teacher John Keating - or the “slightly more daring O Captain, My Captain”.
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1990: Williams and Robert De Niro in Awakenings, an emotional film that saw Williams portray a British neurologist who administered a drug to catatonic patients that briefly awoke them from decades of catatonia.
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1991: Williams appeared as an adult Peter Pan forced to return to Neverland to rescue his children in 'Hook'. The film received mixed reviews but proved popular at the box office.
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1992: Williams in 'Toys'. The film followed a military general after he inherits a toy factory and decides to produce war toys.
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1993: Williams appeared in one of his best-loved roles in Mrs Doubtfire, where he played an actor disguising himself as a female housekeeper in order to spend more time with his children.
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1995: Williams appeared as man released from a board game after being trapped for decades inside it in the blockbuster 'Jumanji'.
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1996: Williams starred opposite Jennifer Lopez in 'Jack', a film about a young boy who ages four times faster than other children.
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1997: Williams appeared alongside Matt Damon in 'Good Will Hunting', a film that won him an Oscar for his portrayal of psychologist Sean Maguire. As he accepted his award, a touched Williams warned the audience: "Oh man, this might be the one time I’m speechless".
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1997: The box-office hit Flubber saw Williams take the role of Professor Philip Brainard, who creates the unstoppable green goo Flubber in his bid to produce a new energy source.
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1998: Williams gave a poignant turn as Dr Hunter 'Patch' Adams, an unqualified doctor who treats patients with laughter in 'Patch Adams' .
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1998: Williams stars alongside Cuba Gooding, Jr in 'What Dreams May Come', a film that follows American physician Chris Nielsen's journey through the afterlife after he is killed in a car crash.
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1999: Robin Williams, Bob Balaban (left), and Armin Mueller-Stahl star in the movie 'Jakob the Liar' about a Jewish shopkeeper who uses his imagination to engender hope throughout a Polish ghetto in 1944.
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1999: American Science Fiction drama 'Bicentennial Man' followed an android (Williams) as he experiences emotions and becomes more human
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2002: Williams took a more sinister role as reclusive crime writer and murderer Walter Finch in 'Insomnia'.
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2002: Williams undertook an unsettling, psychopathic role in One Hour Photo, where he played a photo lab technician obsessed with a family who frequented the store.
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2002: Williams starred alongside Danny DeVito in 'Death to Smoochy', a film about a corrupt children's television host disgraced by an FBI sting.
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2005: Robin Williams stars in 'The Big White', a film about a financially struggling travel agent trying to make a bogus life insurance claim in order to pay for his wife's Tourette treatment.
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2006: Williams and Ben Stiller star in 'Night at the Museum'. Williams will appear in upcoming film "Night at the Museum: Secret of the Tomb," playing the statue of Teddy Roosevelt who comes to life at night.
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2006: Robin Williams, Jeff Daniels and Cheryl Hines star in roadtrip comedy 'R.V.', which followed the tribulations of a dysfunctional family.
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2006: Williams took the leading role in the political comedy drama 'Man of the Year' about a comedian who decides to run for President and finds himself mistakenly elected.
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2007: Robin Williams and Freddie Highmore in 'August Rush', where Williams played a homeless musician who teaches children living on the streets music and employs them as performers.
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2007: Robin Williams, Mandy Moore and John Krasinski starred in 'License to Wed'. Williams played a reverend who places a couple through a series of tests to see if they should marry in his church. The rom-com was poorly received by critics.
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2010: Robin Williams and John Travolta star in 'Old Dogs', a comedy that sees two friends and owners of a sports marketing firm struggle to deal with seven-year-old twins placed in their care. The film was nominated for four Golden Raspberry Awards.
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2013: Susan Sarandon, Robert De Niro and Robin Williams star in The Big Wedding
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2013: Williams starred as President Eisenhower in Lee Daniels' 'The Butler'.
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2014: Robin Williams with his Mork and Mindy co-star Pam Dawber in The Crazy Ones series. It was axed after one season.
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2014: Rob Williams stars in 'The Angriest Man in Brooklyn', the story of a bad-tempered man mistakenly told he has 90 minutes to live.
Paul Farmer, chief executive of Mind, said: "We are incredibly appreciative that Secret Cinema has decided to honour Robin Williams in this way.
"The funds raised from this event will help Mind to be there for the one in four people who have a mental health problem so they get the support they need and the respect they deserve."
Secret Cinema founder and director Fabien Riggall added that he sees "culture as a therapy and a tonic".
"Robin Williams inspired so much in so many of us, I believe cinema should give back to those leading lights who give so much," he said.
Last month, Secret Cinema came under fire for cancelling its immersive Back to the Future cinema experience for a week.
"We know we let our audience down and will do everything we can to make it up to them," a statement read.