The Oscar-winning actress, 24, and Coldplay rocker, 37, started dating in late June, shortly after Lawrence split from her longtime boyfriend, actor Nicholas Hoult. Martin, meanwhile, announced he and his wife of 10 years, Gwyneth Paltrow, were consciously uncoupling in late March.
A source close to Martin told Us the couple's relationship has been "rocky" due to their "insane" schedules. "They really like each other," the insider said, "but it's just so complicated with so much going on."
As previously reported by Us, the new couple fell hard for each other after consciously coupling this past summer. "It's a fantasy come true [for Lawrence]," one source told Us, adding that The Hunger Games' leading lady has had a crush on Martin since she was a teen.
Another source told Us Martin believed she was "the real deal."
Lawrence recently supported Coldplay at the Hollywood Bowl in early October, after being photographed backstage at the iHeartRadio Music Festival last month, where the Brit performed with his band.
In the November 2014 issue of Vanity Fair, without naming names, Lawrence discussed what she looks for in a significant other. "I would just rather have somebody that has the same taste in reality TV," Lawrence told the mag. "I do love my Real Housewives. New York Housewives — and Beverly Hills, New Jersey, and Atlanta Housewives. I mean, I love them all, but Miami — oh, my God! Miami is really special."
She added — rather unabashedly — that she would prefer to be comfortable with her soul mate. "[I want someone who] isn't afraid to fart in front of me [rather] than to have big, passionate love," the X-Men standout said. "I'd rather have just a peaceful time. [Those relationships] are deeper because you can be your true self with somebody, and somebody can be their true self with you."