The poinsettia is an ornamental species native to Mexico, known and distributed worldwide, which has been bred to obtain the cultivars that currently adorn homes at Christmas. The objective of this study was to determine the genetic diversity of Euphorbia spp., through RAPD molecular markers, in 35 genotypes collected in the state of Morelos, Mexico. The study included four sun poinsettia varieties registered in Mexico and one species of E. leucocephala Lotsy. Twenty-one primers of 10 random nucleotides were used, producing 91.82 % polymorphism, i.e. 203 polymorphic DNA fragments of 222 generated. From a cluster analysis a resampling test was carried out using the Jackknifing method with 1,000 replicates, forming seven consistent groups represented in a dendrogram. The accessions that presented different genetic fragments were PASCUA, ROSA, AMA 2, TVOL 2, JIU 1 and JIU 2, from Cuernavaca, Tetela del Volcán and Jiutepec, differentiated mainly by their habitat and bract color. The analyses conducted coincided in the clustering of accessions, separating E. leucocephala from E. pulcherrima because it is a different species. The results showed a wide genetic diversity of the materials collected in Morelos, with accessions of importance for future breeding studies