Transcatheter arterial chemoembolization (TACE) + sorafenib therapy has been demonstrated to exert a beneficial effective on time-to-tumor-progression (TTP) in patients with unresectable hepatocellular carcinoma (HCC) in some studies. However, the beneficial effect varies among studies conducted in different areas of the world. The objectives of this study are (1) to understand whether GALNT14 TT genotype patients respond better than do GALNT14 non-TT genotype patients when treated by TACE; and (2) to understand whether GALNT14 non-TT genotype patients can benefit from TACE plus sorafenib (Nexavar) combination therapy. Patients enrolled will be stratified by GALNT14 genotyping. The GALNT14 "non-TT" patients were then randomized into two subgroups to evaluate the safety, tolerability and efficacy of TACE plus sorafenib therapy.