Novel ternary dielectric percolative composites, consisting of acidified graphite nanosheets (a-GNs)/copper phthalocyanine (CuPc)/sulfonated poly (aryl ether ketone) (SPAEK), were fabricated using a simple solution blending technique. A functional intermediate CuPc layer was introduced and coated on a-GNs to ensure a good dispersion of a-GNs in the SPAEK matrix and suppress the mobility of free charge carriers effectively, resulting in significant improvement of the dielectric properties of a-GNs@CuPc/SPAEK in contrast to a-GNs/SPAEK. Furthermore, enhanced mechanical properties of a-GNs@CuPc/SPAEK compared to SPAEK have been also achieved.