The invention is directed to a process and apparatus for treating an off-gas from a lean burn engine comprising contacting said off-gas with an oxidizing compound, thus producing oxidized NOx compounds, followed by contacting the oxidized NOx compounds with water, by which at least part of said oxidized NOx compounds dissolves in said water. The process of the invention provides for a very efficient means of reducing NOx emission. The equipment for carrying out the process of the invention can be compact, so that it can be used on board without sacrificing too much valuable space and without increasing the weight of the ship too much.