  We explore the action principle for the holographic $T\bar{T}$-deformation.
We develop a scheme in which one can holographically reproduce the action of
the Liouville theory deformed by $T\bar{T}$-insertion. This scheme necessitates
considering the bending energy of the finite cut-off surface. Following our
proposal, one observes a perfect match between the actions of deformed theory
on the field theory and gravity sides.
