We report on the first measurements of the anisotropy of the thermal conductivity of a single crystal of the ferromagnetic superconductor UGe 2 , with the heat current applied parallel to the three orthorhombic main axes of the unit cell. The thermal conductivity was measured over the temperature range 4.2-300 K. The results obtained are discussed in the framework of various contributions to the total thermal conductivity of magnetically ordered material. As a reference compound, polycrystalline ThGe 2 has been used.