The present application discloses a process for the purification of 2'-fucosyllactose produced by fermentation, enzymatic synthesis or chemical synthesis or combinations thereof. The process uses simulated moving bed (SMB) chromatography which allows the continuous purification of large quantities of 2'-fucosyllactose at high purity. Contrary to the purification currently used in chemical synthesis route of 2'-fucosyllactose, the presented process allows the provision of 2'-fucosyllactose free of noxious chemicals like e.g. trace amounts of heavy metals or organic solvents. 2'-fucosyllactose may be obtained in solid form by spray drying. The provided 2'-fucosyllactose is very well-suited for use in food applications.