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This study investigates the anisotropic thermal conductivity behavior of an tetrafunctional epoxy resin containing low percentages (at loading level from 0.25 to 2% wt) of different types of carbonaceous nanofillers, such as 1-D Multiwall Carbon Nanotubes (MWCNTs) and 2-D predominant shape of Exfoliated Graphite nanoparticles (EG). The Transient Plane Source (TPS) measurements shown that, for epoxy formulations filled with MWCNTs, the axial (through-plane) thermal conductivity increase about 60% with respect to the value shown by the resin alone while the radial (in-plane) thermal conductivity remains unchanged. The use of two-dimensional nanoparticles (EG) produces a more significant increase in the thermal conductivity value in both directions. These preliminary results indicate that in the analyzed nanocomposite formulations the thermal channels formed by the carbon nanotubes ( MWCNTs) are predominantly along the axial direction whereas in the case of the exfoliated graphite (EG) they are distributed in both directions with a preference in the axial direction where the increase of thermal conductivity is about 250% at 2% wt of nanoparticles loading. [ABSTRACT FROM AUTHOR]