In this paper, a new algorithm Database Reduction Simultaneously by Ordered Projections (RESOP) is introduced. This algorithm reduces databases in two directions: editing examples and feature selection simultaneously. Ordered projections techniques have been used to design RESOP taking advantage of symmetrical ideas for two different task. Experimental results have been made with UCI Repository databases and the performance for the latter application of classification techniques has been satisfactory. © Springer-Verlag Berlin Heidelberg 2006.