This paper explores the dynamic nature of complementarities between technological and organizational innovation at firms. Using Spanish firm level panel data (PITEC) over period 2008-2016, it investigates how the formation, keeping and ending of the joint adoption of these two core types of innovation is associated with firm performance. In the case of the general static test of complementarities we find no evidence of complementarities. However, once we focus on the analysis of within-firm changes in the complementarity bundle of innovation types, we observe clear evidence that some sequential as well as simultaneous strategy switches towards combining technological and organizational novelties are associated with significant performance premia at firms. Our findings point out the key role of technological innovation in these complementarities. We find evidence of sequential complementarity only when organizational innovation is added to the already existing technological innovation at the firm, not when organizational innovation is added as first component before technological innovation. In the case of dissolving the complementarity bundle of innovation types, the key disadvantage for the firm is related to dropping the technological innovation. Giving up only organizational innovation while keeping the technological innovation appears to have no negative effect, on average, on firm performance.