Meanwhile, the early dominant momentum of "12 Years a Slave" has weakened following Saturday night's "Gravity" win and the results of the Golden Globes on Jan. 12 and last weekend's Screen Actors Guild and Producers Guild awards, at which "American Hustle" and "Gravity" had the stronger showings.
In the 65-year history of the DGA awards, the winner has failed to also take home the best director Oscar just seven times. Ben Affleck, who presented Cuaron with his guild award, won the same accolade last year for "Argo" but was denied a best director nomination at the Oscars. However, like many DGA winners, "Argo" went on to win the best-picture prize at the Oscars.
While accepting his trophy, Cuaron recalled looking at satellite images of earth from space.
"What you cannot see from up there is this bizarre experiment of nature that is the human experience," said Cuaron, a first-time DGA winner. "That experiment is what directors try to sort out with our films. Thankfully, that experience is as diverse as the films as these filmmakers make."
Cuaron also thanked his son and "Gravity" co-writer Jonas Cuaron.
Sandra Bullock, the star of "Gravity," was on-hand to applaud Cuaron for his honor. While introducing the director for his nomination speech, Bullock joked that she could barely understand her director while shooting "Gravity."
"I had no idea whether ice meant ice or ice," she said, pointing to her eye. Later, Cuaron shot back at the actress, saying that actors feel that the universe revolves around them. When he looked over at Bullock, she pointed to her ear and mouthed, "I can't understand you."
Each director gave a nomination speech before the biggest award of the evening was announced and the key stars of films gave their directors glowing introductions. Among them was Bradley Cooper of "American Hustle," Rob Reiner of "The Wolf of Wall Street," Tom Hanks of "Captain Phillips," Sara Paulson of "12 Years a Slave."
Receiving the loudest applause were the evening's diversity award recipients, Shonda Rhimes and Betsy Beers, the creative team behind the TV medical series "Grey's Anatomy."
"We are being given an award for something all of us should be doing anyway," said Rhimes. "There is such a lack of people hiring women and minorities that when someone does so on a regular basis, they are given an award. There shouldn't need to be an award. The lack of diversity in Hollywood is not because of the lack of talent. It's because of the lack of access. People hire their friends. If it's been a white boy's club for 70 years, that's a lot of white boys hiring one another. Rock some boats. Something original is what the public is starving for."
Jehane Noujaim won the documentary prize for "The Square," which was acquired by subscription service Netflix last year and depicts the tumult of the Egyptian Revolution beginning in 2011.
"I'm very humbled and very grateful," said Noujaim, whose previous documentaries include "Startup.com" and "Control Room." "This film is the most deeply personal film I've made, watching my country change before me when I never thought change was possible. It redefined my understanding of what was possible."
Steven Soderbergh, the "sex, lies, and videotape" and "Ocean's Twelve" filmmaker, won the TV movie and miniseries prize for HBO's "Behind the Candelabra," which recounted the relationship of Liberace and his lover Scott Thorson.
Soderbergh, who once served as a DGA first vice president, was also honored with the Robert B. Aldrich Award for his service to the guild.
"Sometimes you feel empty, and you're just overwhelmed and you look and see how willing your team is to carry you forward, and you get an extra burst of energy, and you keep going," said Soderbergh while accepting his first-ever DGA award.