A method for stem or progenitor cell culture. More precisely, the invention relates to a method for cell culture using one or more IαI (inter-alpha trypsin inhibitor or inter-alpha inhibitor) protein(s) or part(s) thereof as a component in a cell culture media or a coating on a cell culture surface material. Furthermore the invention relates to a cell culture media and a cell culture coating/matrix provided with one or more IαI proteins(s) or part(s) thereof.