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[en] Highlights: → We use data assimilation BLUE technique. → We applied it to the problem of nuclear masses evaluation combining model and data. → We evaluate the improvement of accuracy using such technique. → We conclude that data assimilation can be used in this framework and that this technique is promising. - Abstract: This paper presents methods to provide an optimal evaluation of the nuclear masses. The techniques used for this purpose come from data assimilation that allows combining, in an optimal and consistent way, information coming from experiment and from numerical model. Using all the available information, it leads to improve not only masses evaluations, but also to decrease uncertainties. Each newly evaluated mass value is associated with some accuracy that is sensibly reduced with respect to the values given in tables, especially in the case of the less well-known masses. In this paper, we first introduce a useful tool of data assimilation, the Best Linear Unbiased Estimation (BLUE). This BLUE method is applied to nuclear mass tables and some results of improvement are shown.