  We discuss the relation between canonical and metric energy-momentum tensors
for field theories with actions that can depend on the higher derivatives of
tensor fields in a flat spacetime. In order to obtain it we use a modification
of the Noether's procedure for curved space-time. For considered case the
difference between these two tensors turns out to have more general form than
for theories with no more than first order derivatives. Despite this fact we
prove that the difference between corresponding integrals of motion still has
the form of integral over 2-dimensional surface that is infinitely remote in
the spacelike directions.
