Recently the liquid crystals are being recognized to be a quality organic semiconductor, since the fast charge carrier transport was discovered in some types of liquid crystals including discotic (disk-like) and calamitic (rod-like) liquid crystals. In the present study, we have synthesized a polymeric liquid crystal exhibiting smectic (Sm) mesophases, i.e., polyacrylates having 2-phenylnaphthalene moiety as mesogenic group (PNP-acrylate) and investigated its charge carrier transport properties by time-of-flight experiments. We found that the smectic A phase of the polymer exhibited a high hole mobility of 10⁻⁴ cm²/Vs, which was comparable to that in the smectic A phase of small molecule, 2-phenylnaphthalene derivatives. Furthermore, the fast hole transport was also observed in Sm glassy phase at ambient temperatures, when a small amount of 2-phenynaphthalene derivative was added to the polyacrylate. These facts indicate that the Sm mesophases in polymeric liquid crystals exhibit fast charge carrier transport comparable to the small molecular weight Sm liquid crystals basically.