According to The Sun, the Anything Can Happen singer has been forced to end their romance after struggling to have a long-distance relationship with the dubstep producer.
A source told the newspaper: "It's really sad, they were really good for each other. They just couldn't make it work.
"They both have successful careers and live in different countries."
Goulding is thought to have started dating Skrillex - real name Sonny John Moore - back in February, after the American artist asked her to feature on his EP.
Earlier this month, Ellie addressed her relationship Moore, telling The Sun: "I just met someone, fell in love with them and that's it. He's my guy and he influences me but only in the way that any boyfriend would influence a girl.
"As for me influencing him, I read somewhere that I made him feel more secure. That was really nice. I felt a little bit like, 'Ah' because he's never said that to me."
She added: "I think we've just been really good for each other and we motivate each other. His lifestyle in general is pretty mental. He's in a different place every day and at parties, but I'm very happy."
Ellie and Skrillex are yet to comment on the split reports.