  We calculate the cross-section for the excitation and subsequent decay of
triple giant resonances(TGDR) in several nuclei excited with heavy ions.The
recently developed coherent plus incoherent theory for excitation in
conjunction with the hybrid decay model of Dias-Hussein-Adhikari are used for
the purpose.It is emphasized that the direct decay of TGDR is expected to
deviate appreciably from the harmonic limit especially at low bombarding
energies,owing to the incoherent contribution.
