On Friday, Tasmania Police Commander Nathan Johnston said expert reports had provided compelling evidence human remains found in January belonged to Ms Cremer.
The 31-year-old was last seen in the Philosopher Falls area near Cradle Mountain in the state's northwest on June 17, 2023.
Her sister Amelie Cremer said the update had brought the family "immense relief".
"After almost three years of endless waiting, we finally have answers," she said in a post on social media.
"These words are hard to write ... but they also bring us immense relief.
"Today our hearts are broken but at peace at the same time.
"After all this time, Celine can finally come home. She will be able to rest in peace, surrounded by love that never left her side."
She thanked those who participated in the search for Ms Cremer, adding her sister had not been forgotten.
"Your absence has left a huge void, but your smile, your energy and all the love you gave us live on within us," she said.
"Today we bring you near us."
Ms Cremer was reported missing by her family on June 26, sparking a major search involving police and SES ground crews, specialist swift water rescue personnel, drones and a helicopter.
Police believed she had set off on a walk and her car was found in the falls car park a day after the missing person's report was filed.
No further trace of Ms Cremer was found until a privately funded search resumed in December 2025, when members of the group located her phone near Philosopher Falls.
Search teams made a breakthrough in January after a bushwalker discovered bones on a stretch of Arthur River, about 2km from the tourist's last known location.
Five bones, teeth, a Honda car key, and items of clothing were found during subsequent searches.
The recent breakthroughs were made in an area of dense bushland police had surveyed by helicopter during earlier searches.
"Tasmania Police extends its sincere condolences to Ms Cremer's family and loved ones," Mr Johnston said.
"While this provisional confirmation will not ease their loss, we hope the outcome will provide them with some measure of clarity and closure."
A report will be prepared by the coroner, who will officially determine the identity of the remains in their findings.
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