The culture of human embryonic stem (hES) cells in defined and xenogeneic-free conditions will contribute substantially to future biotechnological and medical applications. To achieve this goal, we developed the first fully defined synthetic polymer coating poly[2-(methacryloyloxy)ethyl dimethyl-(3-sulfopropyl)ammonium hydroxide] (PMEDSAH) that sustains long-term growth of hES cells in different culture media. Here we describe a detailed protocol for the reproducible fabrication of PMEDSAH coating on tissue culture polystyrene dishes, and for the feeder-free culture of hES cells on PMEDSAH coating in defined culture medium. This culture system represents a key step toward the fully defined and xenogeneic-free culture of hES cells.