In 2012 she played Katniss Everdeen in The Hunger Games, an adaptation of the first book in author Suzanne Collins' Hunger Games trilogy. Set in a post-apocalyptic future, the series tells the story of the teenage heroine Everdeen as she joins rebel forces against a totalitarian government after winning a brutal televised annual event. Despite being an admirer of the books, Lawrence was initially hesitant to accept the part, because of the grand scale of the film. She agreed to the project after her mother convinced her to take the part. She practiced yoga, archery, rock and tree climbing, and hand-to-hand combat techniques for the role. While training for the part, she injured herself running into a wall. The film received generally positive reviews, and Lawrence's portrayal of Everdeen was particularly praised. Todd McCarthy of The Hollywood Reporter called her an "ideal screen actress", adding that she embodies the Everdeen of the novel, and believed that she anchored the film "with impressive gravity and presence". Roger Ebert agreed that she was "strong and convincing in the central role". With worldwide revenues of over $690 million, The Hunger Games became a top-grossing film featuring a female lead, making Lawrence the highest-grossing action heroine of all time. The success of the film established her as a global star.
Later in 2012, Lawrence played Tiffany Maxwell, a young widow with borderline personality disorder, in David O. Russell's romance movie Silver Linings Playbook. The film was an adaptation of Matthew Quick's novel of the same name. It follows her character finding companionship with Pat Solitano Jr. (played by Bradley Cooper), a man with bipolar disorder. She was drawn to her character's complex personality, stating: "[Maxwell] didn't really fit any basic kind of character profile. Somebody who is very forceful and bullheaded is normally very insecure, but she isn't". While Russell initially found Lawrence too young for the part, she convinced him to cast her via a Skype audition. She found herself challenged by Russell's spontaneity as a director, and described working on the project as the "best experience of [her] life". Richard Corliss of Time magazine wrote: "Just 21 when the movie was shot, Lawrence is that rare young actress who plays, who is, grown-up. Sullen and sultry, she lends a mature intelligence to any role." Peter Travers opined that Lawrence "is some kind of miracle. She's rude, dirty, funny, foulmouthed, sloppy, sexy, vibrant, and vulnerable, sometimes all in the same scene, even in the same breath." She won the Golden Globe and Academy Award for Best Actress for her performance, becoming—at age 22—the second youngest Best Actress winner. Her final film of the year was alongside Max Thieriot and Elisabeth Shue in Mark Tonderai's critically panned thriller House at the End of the Street.
Lawrence played Serena Pemberton in Susanne Bier's depression-era drama Serena (2014), based on the novel of the same name by Ron Rash. In the film, she and her husband George (portrayed by Bradley Cooper) become involved in criminal activities after realizing that they cannot bear children. The project was filmed in 2012, and was released in 2014 to poor reviews. Lawrence then reprised the role of Mystique in X-Men: Days of Future Past, which served as a sequel to both X-Men: The Last Stand (2006) and X-Men: First Class (2011). The film received positive reviews and grossed $748.1 million worldwide, becoming the highest-grossing film in the X-Men series to that point. Justin Chang of Variety praised her look in the film but thought that she had little to do but "glower, snarl and let the f/x artists do their thing". Lawrence's next two releases were in the final parts of The Hunger Games film series, Mockingjay – Part 1 (2014) and Part 2 (2015). For the musical score of the former film, she sang the song "The Hanging Tree", which charted on multiple international singles charts. In a review of the final film in the series, Manohla Dargis of The New York Times drew similarities between Lawrence's rise to stardom and Everdeen's journey as a rebel leader, writing: "[The actress] now inhabits the role as effortlessly as breathing, partly because, like all great stars, she seems to be playing a version of her 'real' self". Both films grossed over $650 million worldwide.
In 2012, the review website IndieWire described Lawrence's off-screen persona as "down-to-earth, self-deprecating, unaffected". An IGN writer has described her as a "sharp", "funny" and "quirky" actress who likes to "stay grounded" despite considerable success. Lawrence has said that she finds acting "stupid" in comparison to life-saving professions like doctors, and therefore does not believe in being "cocky" about her achievements.
In 2012, Rolling Stone called Lawrence "the most talented young actress in America." Her The Hunger Games co-star Donald Sutherland has favorably compared her craft to that of Laurence Olivier and finds her an "exquisite and brilliant actor". David O. Russell (who directed her in Silver Linings Playbook, American Hustle, and Joy) has praised her effortless acting that makes her performances look easy. Throughout her career, Lawrence has played roles in both high-profile, mainstream productions and low-budget independent films, and has appeared in a range of film genres. She did not study acting and has not been involved in professional theater. She instead bases her acting approach on her observations of people around her. She told The Globe and Mail in June 2010 that she does not "invest any of [her] real emotions" or take home any pains of her characters. Lawrence went on to say that "I don't even take it to craft services" and has never shared their experiences, relying instead on her imagination, noting "I can't go around looking for roles that are exactly like my life." She stated that "If it ever came down to the point where, to make a part better, I had to lose a little bit of my sanity, I wouldn't do it. I would just do comedies."