The present invention relates to a process for the hydrogenation of olefins. The process comprises hydrogenation of a feed stock comprising more than 90 wt-% of olefins, carried out in a hydrogenation reactor comprising at least two reaction stages, wherein the feed stock is hydrogenated in the first reaction stage equipped with a cooling circuit and comprising a first and an optional second catalyst bed, and the effluent from the first reaction stage is hydrogenated in the final reaction stage comprising one or more catalyst beds and optionally equipped with a cooling circuit, the process is operated in trickling or pulse flow mode in a three phase reactor with a fixed catalyst bed and at least one catalyst of same or different type is used in each stage, the catalyst having different particle size and/or optionally different shape in at least two stages.