The film, starring real-life married couple Tom Cruise and Nicole Kidman, has been largely kept under wraps. A brief look at the plot, released for the purpose of promoting the film: After learning of the flirtatious behavior of his wife, Alice (Kidman), Dr. William Harford (Cruise) goes on an odyssey of his own.
It is the final film of Kubrick, who died just days after completing it. It is his first film in 12 years, and took two years to complete. Kubrick is the mastermind behind such movie classics as 2001: A Space Odyssey (1968), A Clockwork Orange (1971), The Shining (1980), and Full Metal Jacket (1987).
Stars on hand at Tuesday night's premiere included Jodie Foster, Salma Hayek, Val Kilmer, Cuba Gooding Jr., Ellen DeGeneres and Anne Heche, and, of course, the movie's two stars.
Said Cruise, "I just hope people enjoy the movie. It's a thrilling picture." And Kidman pointed out that the movie "deals with a lot of important ideas as well as just the sex scenes, which everyone seems to be talking about."
For some, the secrecy surrounding the details of the movie only served to make opening night more exciting.
"How often do we really not know what we're going to go see?" said musician Melissa Etheridge. "I mean, by the time we see a movie, we've seen so many trailers and everything that tells us what's going on. This is very exciting."
Still others came out in tribute to Kubrick, including director Martin Scorsese, who said, I've lived with his films all my life, and I still live with them. It's just like listening to a piece of music, a great symphony."
The film, released by Warner Brothers is rated "R" for strong sexual content, nudity, language and some drug-related material. The film also stars Thomas Gibson, Sydney Pollack, Todd Field, and Marie Richardson.
[For more information related to this story, see CBS News Has 'Eyes' Covered]
[To see the official Web site for Eyes Wide Shut, click here.]