The Schindler's List star was widowed when his actress wife Natasha Richardson was killed in a skiing accident in 2009, but he found love again with British businesswoman Freya St Johnston a year later (10).
However, Britain's Mail on Sunday reports the couple's relationship came to an end earlier this month (Oct12).
A source tells the publication, "Liam is heading back to America at the start of next month to work on his new film Non-Stop. He told Freya that he wants to take a break and concentrate on his family."
Neeson, 60, has two sons from his marriage to Richardson.