Among the duo's credits: Notting Hill, Fargo, Dead Man Walking and Four Weddings and a Funeral.
It was featured in the British box office smash Four Weddings And A Funeral in the same year.
Curtis is best known for such films such as Four Weddings and a Funeral, Notting Hill and Love Actually.
FilmFour produced many of Britain's most successful films over the last 20 years, from Trainspotting and the Crying Game to Four Weddings and a Funeral.
Directed by Four Weddings And A Funeral's Mike Newell, it was adapted from the classic Dickens novel by David Nicholls, the author of hit novel One Day.
Both runners up were in the BBC TV studio for the announcement on Friday along with Four Weddings and a Funeral stars Charlotte Coleman and Simon Callow.
"We only have three or four weddings a month, but with the photographs, filming and video editing, that is enough to keep us all fully employed, " he says.
"It's a great honour to be invited to be the BFI London Film Festival's closing night film, " said Newell, whose other films include Four Weddings and a Funeral.
But when Richard Curtis, later to achieve fame as the Four Weddings and a Funeral writer, invited him to replace someone who had dropped out of an Edinburgh Festival revue, Deayton accepted.
British cinema had a productive decade - nine films received best film nominations in seven years, among them The Full Monty, Four Weddings and a Funeral, Secrets and Lies and The Crying Game.
The New York Times ridiculed the movie as an "indigestible Christmas pudding from the British whimsy factory responsible for such reasonably palatable confections as Four Weddings And A Funeral, Notting Hill and Bridget Jones's Diary".
On Saturday, the couples received an email from Adrian Roberts, from caterers Four Leaf Clover, which took over the organisation of weddings at the venue from another chef last year.
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