Using the analogy with the problem of ionization and
excitation of atoms at the propagation of relativistic charged
particles through matter, the process of Coulomb dissociation
of weakly bound relativistic nuclei and hypernuclei is
theoretically investigated in the framework of the two-cluster
deuteron-like model. Explicit expressions for the total
cross-section of Coulomb disintegration of weakly bound systems
are derived, taking into account the corrections connected with
the finite size of the target nucleus; numerical estimates for
the Coulomb dissociation of relativistic hypernuclei
$^{3}H_{\Lambda}$ and $^{6}He_{\Lambda}$ are performed. It is
shown that, due to the sharp dependence of the cross-section of
Coulomb dissociation upon the binding energy, the experimental
measurement of this cross-section in the case of weakly bound
relativistic nuclei and hypernuclei allows one to determine the
values of binding energy for these systems.