"I'm so thrilled to hear the news," Smart wrote. "What has been such a heart wrenching tragedy finally has some happiness in the story."
Smart called the turn of events in the case "a miracle." Jayme, 13, was taken from her home Oct. 15. Kidnapping suspect Jake Patterson, who is also accused of shooting and killing both of her parents, was arrested on Thursday.
"I hope we may all continue to support and embrace Jayme as she reclaims her life and comes to terms with the reality of her situation. What a brave, strong, and powerful survivor," Smart wrote. "No matter what may unfold in her story let's all try to remember that this young woman has SURVIVED and whatever other details may surface the most important will still remain that she is alive."
Smart was abducted on June 5, 2002 from her Utah home at the age of 14. She was held captive for nine months before being rescued by police and reunited with her family.