Considering that the characterization in plants like a set of characteristics to differentiation they taxonomicment, in the present research was established as objective the selection of reliable and discriminant morphological variables, by means of the analysis of variance, coefficient of variation, lineal correlation, stepwise selection analysis and principal components analysis. The characteristics election were from leaf, flower and fruit set of hawthorn (Crataegus spp.), of the collection of accessions established in the genebank of the Universidad Autónoma Chapingo. The statistical methods that contributed more in the selection of these morphologic characteristics and definition of descriptors were: the coefficient of variation, the principal components analysis and their analysis of correlation, in addition to the criterion of the researcher, obtaining 35 characters that contributed more in the morphologic characterization, of a total of 76 variables. The discriminant variables were: leaves of reproductive shoots: perimeter, length of the major and smaller axis, elongation index, feret diameter, compaction index, basal angle and number of veins; leaves of short vegetative shoots: perimeter, length of the major and smaller axis, elongation index, feret diameter, compaction index, apical and basal angle, number of veins; leaves of long vegetative shoots: perimeter, length of the major and smaller axis, elongation index, feret diameter, compaction index, apical and basal angle; stomata in reproductive leaves: stomata frequency and length of stomata; and of flower: pedicel length, length of the floral receptacle, perimeter and feret diameter of the petals, length of the style, perimeter, length of the major axis and feret diameter of anther filaments.