This paper focuses on measuring technical efficiency of National Innovation System across a sample of the European Union (EU) countries using data envelopment analysis. We used an output-oriented constant returns to scale model to calculate the efficiency of the units represented by the European Union countries. This nonparametric method measures efficiency of input utilisation as compared to the achieved outputs during the consumption process. Following previous studies on this topic, we have used the number of researchers and the expenditures on research and development (R&D) as inputs and published scientific journal articles and applied patents as outputs of the model. Stemming from the available data, we have covered the period of 2005-2016. This period covers the economic period before the financial crisis and economic recession in which it was necessary to use resources effectively for the maximisation of final production. The study also presents data representing the era of growth trend in European economy. The only efficient countries in our study as of 2016 were found to be Cyprus, Luxembourg, Malta, and Romania. The number of efficient units decreased from six countries measured in 2005 from among the eight calculated in the years of the economic crisis to four efficient decision-making units (DMUs) in 2015. Germany, the best performer in the European Union with respect to patent rankings, was classified