Complex dielectric permittivities of biocompatible, biodegradable and shape memory polycaprolon (PCL) and polyactide (PLA) composites with nanofillers in the form of multiwall carbon nanotubes (MWNTs) and Fe3O4 are investigated in the millimeter wave range in the temperature interval from 20 to 90°C in a. It is found that the electromagnetic-wave absorption in PCL and PLA, as well as in their nanocomposites, increases with temperature in the interval from 30°C to 45°C (PCL) and from 55°C to 90°C (PLA). The samples of PLA with MWNT prepared with melamine show much lower absorption compared with the same samples prepared without melamine