Multidrug resistance to chemotherapy is a critical health problem associated with mutation of the therapeutic target. Therefore, the development of anticancer agents remains a challenge to overcome cancer cell resistance. Herein, a new series of quinazoline-based pyrimidodiazepines 16a-g were synthesized by the cyclocondensation reaction of 2-chloro-4-anilinoquinazoline-chalcones 14a-g with 2,4,5,6-tetraaminopyrimidine. All quinazoline derivatives 14a-g and 16a-g were selected by the U.S. National Cancer Institute (NCI) for testing their anticancer activity against 60 cancer cell lines of different panels of human tumors. Among the tested compounds, quinazoline-chalcone 14g displayed high antiproliferative activity with GI50 values between 0.622-1.81 μM against K-562 (leukemia), RPMI-8226 (leukemia), HCT-116 (colon cancer) LOX IMVI (melanoma), and MCF7 (breast cancer) cancer cell lines. Additionally, the pyrimidodiazepines 16a and 16c exhibited high cytostatic (TGI) and cytotoxic activity (LC50), where 16c showed high cytotoxic activity, which was 10.0-fold higher than the standard anticancer agent adriamycin/doxorubicin against ten cancer cell lines. COMPARE analysis revealed that 16c may possess a mechanism of action through DNA binding that is similar to that of CCNU (lomustine). DNA binding studies indicated that 14g and 16c interact with the calf thymus DNA by intercalation and groove binding, respectively. Compounds 14g, 16c and 16a displayed strong binding affinities to DNA, EGFR and VEGFR-2 receptors. None of the active compounds showed cytotoxicity against human red blood cells.