Twelve-month-old Llana Qazi was diagnosed last October and then kept alive by five different mechanical hearts because doctors in Tyneside could not keep her stable.
Her family faced an agonised four-month wait until Llana was operated on at the end of February.
Complications during surgery meant it was then another three months before she was reunited with her anxious parents and siblings at their home in South Shields.
Her family are now planning family trips and a party to celebrate.
When baby Llana began struggling to sleep and feed properly in September, her concerned mother, Shaz, 39, took her to the doctors.
Tests at South Tyneside District Hospital revealed she had a murmur on her heart and she was transferred to Newcastleâ€™s Freeman Hospital for specialist treatment.
There she was diagnosed with cardiomyopathy, which affects the heart muscles and meant her heart was not strong enough to work on its own.
Mrs Qazi and her husband Muhammed, 47, were told Llana urgently needed a heart transplant.