We have performed a systematic study of the temperature dependence of
the in-plane thermal conductivity K(T) in oxygen-deficient single crys
tals of YBa2Cu3O6+x (0<x<1). An anomalous dependence of K(T) observed
in insulating YBa2Cu3O6 below 200 K is evidence for the existence of u
nknown phonon relaxation process. This phonon relaxation seems to pers
ist in superconducting samples. A strong temperature dependence of K(T
) in antiferromagnetic YBa2Cu3O6 at T>240 K suggests a strong spin-pho
non coupling. For underdoped superconducting crystals, we have found t
hat features in metallic normal state K(T) correlate with so-called sp
in-gap behavior of the spin and charge excitation spectrum. We interpr
et these features of K(T) in terms of a spin-phonon interaction.