Miss Peregrine’s Home for Peculiar Children is a young adult fantasy novel series written by Ransom Riggs. The series follows a group of orphaned children with extraordinary abilities, known as "peculiar children," who are living in a hidden home in rural Wales. The series includes three books: Miss Peregrine's Home for Peculiar Children, Hollow City, and Library of Souls.
Belwe Light, created by Georg Belwe, is the serif typeface used for the book's title. The best match we can find for the "Peculiar Children" part, which is probably handwritten, is York Handwriting by Thinkdust or Aracne Condensed Regular by Antipixel. Americana, a serif font created by Richard Isbell in 1966 for American Type Founders, is used for the title (serif portion) shown on the movie poster.