The scattering mechanisms involved in heat transport of the inorganic quasi-one-dimensional conductors exhibiting charge density waves (CDW) may be investigated through thermal conductivity measurements. In particular, measurements of the thermal conductivity K(T), in the range 1.5–350 K, on (TaSe 4 ) 2 I, (NbSe 4 ) 3.3 I, K 0.3 MoO 3 can give information on different types of scatterings: by the soft Kohn-Peierls phonons above the Peierls temperature T c , by the excitations of the CDW just below T c and by defects at low temperatures in the vicinity of K(T) maximum in addition to the umklapp scattering. In order to interpret K(T) specific for CDW ground state, we show for comparison the results obtained for (NbSe 4 ) 3 I, which is structurally similar to (TaSe 4 ) 2 I and (NbSe 4 ) 3.3 I, but it does not exhibit CDW.