The 55-year-old former minster and the stylist, who are the parents of pop stars Jessica and Ashlee Simpson, split in 2012 after 34 years of marriage
The couple separated amid allegations that Joe is gay. But are now trying to "bury the hatchet" following Tina's recent engagement to landscape gardener Jon Goldstein, reported OK! magazine.
"Tina said yes because she's ready to forgive. The split was nasty, with accusations of cheating. This is an olive branch," a source said.
The Simpson sisters are happy their mother, 55, has found love again.