The invention relates to a stem cell culture medium which contains certain chemical components as follows: water-soluble non-polyelectrolyte polymers, inorganic salts, vitamins, amino acids, glucose, transferrin, insulin or a substitute with the same functions as the insulin (the IGF-1 / 2), and a fibroblast growth factor. The stem cell culture medium containing the certain chemical components is free of additives from an animal source, namely various animal products, trophoblast cells and conditioned mediums, and has the advantages that cell differentiation resulted from non-absolute purification of the traditional culture medium blood products can be avoided; a totipotential stem cell culture medium can be provided to effectively increase human totipotential stem cells (including the hESC and the hiPSC) in vitro, achieve a remarkable effect, and substitute for the traditional culture mediums from an animal source; due to the adoption of the stem cell culture medium stem cell culture medium, the quality stability of each product batch can be ensured effectively to facilitate the product standardization.