The 46-year-old says it was hard on her sons Dylan, 17, and Brandon, 16.
"When my kids became teenagers it was hard on them. They fought a few bullies - and were teased by some. I regret that anything I have ever done has made them uncomfortable or suffer," dailystar.co.uk quoted Anderson as saying.
They overcame their problems together.
"But our life is our life - we love each other - we are close - we have gone through a lot. It made us all closer and more resilient as a family."
Anderson was chosen as Playmate of the Month for Playboy magazine in February 1990, a year after she made her debut on the magazine. Her Playboy career spans 22 years.