  We present explicit expressions for the tree-level "kinematic" twist-three
contributions to the nucleon matrix elements of gauge-invariant nonlocal
quark-antiquark operators which can be used in lattice calculations of
generalized parton distributions (GPDs). These contributions in particular
restore the translation invariance of the results up to higher twist four. The
calculated twist-three corrections are logarithmically enhanced as compared to
the leading twist, and are discontinuous at the kinematic points $x=\pm\xi$.
