  We calculate the $T\bar{T}$-deformed entanglement entropy for integrable
quantum field theories (IQFTs) using the form factor bootstrap approach. We
solve the form factor bootstrap axioms for the branch-point twist fields and
obtain the deformed form factors. Using these form factors, we compute the
deformed von Neuman entropy up to two particle contributions. The solution of
the form factor axioms is not unique. We find that for the simplest solution of
the bootstrap axioms, the UV limit of the entanglement entropy takes the same
form as the undeformed one, but the effective central charge is deformed. For
solutions with additional CDD-like factors, we can have different behaviors.
The IR corrections, which only depends on the particle spectrum is untouched.
