Using two approved creativity techniques, technical problem solving can be supported in a systematic and analytical way: morphological and contradiction-oriented problem solving (the latter as part of the Theory of Inventive Problem Solving [Russian acronym: TRIZ]). In these techniques different anchor points for creativity are used: morphological-oriented problem solving is characterized by structuring a system into independent partial systems and finding answers by combining the different solutions of these subsystems; contradiction-oriented problem solving is focused on finding fundamental contradictions within a system, representing the core problems, and solving them by applying the accumulated experiential knowledge of previous inventors. In this paper a combination of both techniques is developed and deployed, using network-oriented function analysis as a connecting concept. We refer to this combination as MorphoTRIZ. It is particularly helpful in technical problem solving, when there is a demand for a multitude of smart solutions, which has become quite common with regard to design-oriented products and individualized mass production as well as various other purposes. Seen from the conceptional perspective of creative problem solving, MorphoTRIZ combines process elements: (i) for producing a multitude of ideas, (ii) for producing many categories of ideas, and (iii) for producing highly original ideas. It provides connections to further creativity techniques, to open innovation and also to the field of management research as application area.