The invention relates to a method for producing shaped bodies or applying coatings on workpieces. The aim of the invention is to produce shaped bodies which are structured in an almost arbitrarily three-dimensional manner or contoured coatings are allowed to be formed on most different workpieces wherein simultaneously the required time and energy will be reduced in comparison with conventional procedures. According to the invention, a shaped body will be built-up in layers or a coating that consists of at least two individual layers will be applied on a workpiece. For this, a platform whereon the shaped body will be built-up or the workpiece is held in a clamping device which is movable within at least two axes in relation to two different sources of heat. The layers which are located inside the shaped body or which are arranged towards the surface of the workpiece will be formed by means of plasma arc weld surfacing or using an inductor having a greater layer thickness and track gauge of the individual layers, and at least one external cover layer having a smaller layer thickness and track gauge will be formed by means of laser beam weld surfacing.