We carried out measurements of thermal conductance and thermal contact resistance of two materials commonly used in low temperature laboratories such as an Electro-Magnetic Interference (EMI) Filter and Stycast 2850 FT epoxy. Both samples were attached on a heat sink made of oxygen-free high thermal conductivity (OFHC) copper and characterized at temperatures between 0.3 K and 4.5 K, using a ³He refrigerator mounted on a pumped ⁴He cryostat. For the EMI filter we applied a varied input power from 0.25 up to 50 μW to the heater which is soldered to its central pin,whereas for a thin layer of Stycast sandwiched between a copper strap and the heatsink we applied an input power from 10 up to 810 μW. The temperature dependences obtained in each case were K = 3 ·10⁻⁵T ²·³ [W/K], and RK= 8.4 ·10⁻³T ¹·⁷ [W/cm²K] respectively.