Provided is an isolated population of human pluripotent stem cells comprising at least 50% human pluripotent stem cells characterized by an OCT4+/TRA1-60−/TRA1-81−/SSEA1+/SSEA4− expression signature, and novel methods of generating and maintaining same in a pluripotent, undifferentiated state a suspension culture devoid of cell clumps. Also provided are novel culture media, cell cultures and methods for culturing pluripotent stem cells in a suspension culture or a two-dimensional culture system while maintaining the cells in a proliferative, pluripotent and undifferentiated state. The novel culture media comprise interleukin 11 (IL11) and Ciliay Neurotrophic Factor (CNTF); bFGF at a concentration of at least 50 ng/ml and an IL6RIL6 chimera; or an animal contaminant-free serum replacement and an IL6RIL6 chimera. Also provided are methods for generating lineage-specific cells from the pluripotent stem cells.