Disclosed is a process for reducing sulfur and olefin contents in gasoline, comprising contacting gasoline feedstock and hydrogen with a hydrorefining catalyst and an paraffin-modification catalyst. The effluent of the process is separated to obtain a hydrotreated gasoline fraction free of mercaptan and having a low content of sulfur, e.g. less than 200 ppm, a low content of olefins, e.g. less than 20% by volume, and little octane loss. The hydrotreated gasoline fraction can be used as blending component of a final gasoline product.