The 58-year-old actor and 26-year-old model Lydia Hearst-Shaw - who began dating at the end of last year - have decided to call time on their relationship, with friends citing the 32-year age gap as the main reason.
One pal told RadarOnline.com: "They are no longer together - they split-up about a week ago. There was quite an age difference and things just ran their course."
The `Jurassic Park` star - who was first linked to Lydia after they were spotted kissing in Los Angeles last December - has been married twice, first to Patricia Gaul for six years until 1986 and secondly to Geena Davis, whom he divorced after three years of marriage in 1990.
He previously stated his intention to marry Tania, claiming he was smitten with her.
Jeff said at the time: "Serious as a heart attack. I intend to marry her."
He has maintained a strong relationship with former wife Geena, praising her since their separation as a "wonderful person and a wonderful actress".
Despite having a quiet career in recent years, Jeff has been back in cinema screens recently in romantic comedies `The Switch` and `Morning Glory` in the last 18 months.