The 21-year-old student’s body was found in the Humber Estuary last week.
Lisa Squire says in a Facebook post that Libby's death has robbed her of "one of the most precious things" in her life.
The death of university student Libby Squire is being treated as a "potential homicide", police have said.
A body recovered from close to Grimsby Docks in the Humber Estuary is that of missing university student Libby Squire, police said.
Libby Squire has been missing for more than a month.
The student went missing in the early hours of February 1.
Two photos of the 21-year-old were issued on Wednesday by her parents, 12 days after she disappeared on February 1.
A 24-year-old man was arrested on Wednesday on suspicion of abducting the 21-year-old.
University of Hull student Libby Squire, 21, has not been seen since the early hours of Friday.
Libby Squire was reported missing from Hull in the early hours of Friday morning.