Using the method of immunoprecipitation of the in vivo crosslinked and sheared by sonication chromatin, mapping of potential trithorax-associated regulatory elements within the extended (9 kb) promoter region of the fork head gene (fkh) in the Drosophila melanogaster salivary gland cells was performed. Relative homogeneity of the salivary gland cells, along with the parallel use of the antibodies to different domains of the same trithorax protein (TRX), and the introduction of cross-hybridization steps for additional specific enrichment of initial DNA libraries, provided improvement of the method effectiveness and identification of one major and two less expressed potential TRX-binding sites.