As alternatives of viral and cationic lipid gene carriers, cationic polymer-based vectors may provide flexible chemistry for the attachment of targeting moieties. In this report, galactosylated N-2-hydroxypropyl methacrylamide-b-N-3-guanidinopropyl methacrylamide block copolymers (galactosylated HPMA-b-GPMA block copolymers, or abbreviated as GHG) were prepared in order to develop hepatocyte targeting gene transfection carriers. The block copolymers were synthesized by aqueous reversible addition–fragmentation chain transfer (RAFT) polymerization of N-2-hydroxypropyl methacrylamide (HPMA) and N-3-aminopropyl methacrylamide (APMA), followed by galactosylation and guanidinylation. The molecular weight of GHG copolymers determined by static light scattering method was in the range from 48600 to 76240 g/mol. In addition, the galactose content in the GPMA block in the copolymers was determined to be 6.5–8.0 mol % according to the sulfuric acid method. The GHG copolymers complexed completely with plasmid DNA (pDNA) to show positive zeta-potential values with diameter 100–250 nm from charge ratio of 4, which demonstrated the excellent DNA condensing ability of guanidino groups. Furthermore, the MTT assay data of GHG/pDNA complexes on HepG2 cells and HeLa cells indicated that GHG copolymers had significantly lower cytotoxicity than PEI. In addition, the copolymers with GPMA component from 30.23% showed higher transfection efficiency than PEI at charge ratio of 12 in HepG2 cells. The result revealed that the conjugation of galactose groups in the copolymers brought asialoglycoprotein-receptor (ASGP-R) mediated transfection. The employing of HPMA component decreased the aggregation of protein in transfection presence of serum. The GHG copolymers combined the advantages of galactose moieties, guanidino groups, and HPMA component might show potential in safe hepatocyte targeting gene therapy.