  We construct the twist operator for the Snyder space. Our starting point is a
non-associative star product related to a Hermitian realisation of the
noncommutative coordinates originally introduced by Snyder. The corresponding
coproduct of momenta is non-coassociative. The twist is constructed using a
general definition of the star product in terms of a bi-differential operator
in the Hopf algebroid approach. The result is given by a closed analytical
expression. We prove that this twist reproduces the correct coproducts of the
momenta and the Lorentz generators. The twisted Poincar\'{e} symmetry is
described by a non-associative Hopf algebra, while the twisted Lorentz symmetry
is described by the undeformed Hopf algebra. This new twist might be important
in the construction of different types of field theories on Snyder space.
