To mediate selective gene delivery to hepatocytes via the asialoglycoprotein receptors (ASGP‐Rs), we designed and synthesized well‐defined and narrowly dispersed galactose‐ and glucose‐functionalized cationic polycarbonate diblock copolymers (designated as Gal‐APC and Glu‐APC, respectively) using organocatalytic ring‐opening polymerization of functionalized carbonate monomers, with a subsequent quaternization step using bis‐tertiary amines to confer quaternary and tertiary amines for DNA binding and endosomal buffering, respectively. The sugar‐functionalized diblock copolymers effectively bound and condensed DNA to form positively charged nanoparticles (<100 nm in diameter and ≈30 mV zeta‐potential) that were stable under high physiological salt conditions. In comparison to the control Glu‐APC/DNA complexes, Gal‐APC/DNA complexes mediated significantly higher gene expression in ASGP‐R positive HepG2 cells with no significant difference observed in ASGP‐R negative HeLa cells. The co‐incubation of Gal‐APC/DNA complexes with a natural ASGP‐R ligand effectively led to a decrease in gene expression, hence providing evidence for the ASGP‐R mediated endocytosis of the polyplexes. Importantly, the Gal‐APC/DNA complexes induced minimal cytotoxicities in HepG2 cells at the N/P ratios tested. Taken together, the galactose‐functionalized cationic polycarbonate diblock copolymer has potential for use as a non‐viral gene vector for the targeted delivery of therapeutic genes to hepatocytes in the treatment of liver diseases.