Many quinazoline derivatives have been synthesized over the last few decades with great pharmacological potential, such as antimalarial, anti-inflammatory, antimicrobial, anticancer, and antiviral. But so far, no quinazoline-artemisinin hybrids have been reported in the literature. In the present study, five novel quinazoline-artemisinin hybrids were synthesized and evaluated for their in vitro biological activity against malarial parasites (Plasmodium falciparum 3D7), leukemia cells (CCRF-CEM and CEM/ADR5000), and human cytomegalovirus. Remarkably, hybrid 9 (EC50 = 1.4 nM), the most active antimalarial compound of this study, was not only more potent than artesunic acid (EC50 = 9.7 nM) but at the same time more active than the clinically used drugs dihydroartemisinin (EC50 = 2.4 nM) and chloroquine (EC50 = 9.8 nM). Furthermore, hybrids 9 and 10 were the most potent compounds with regard to anticytomegaloviral activity (EC50 = 0.15-0.21 μM). They were able to outperform ganciclovir (EC50 = 2.6 μM), which is the relevant standard drug of antiviral therapy, by a factor of 12-17. Moreover, we identified a new highly active quinazoline derivative, compound 14, that is most effective in suppressing cytomegalovirus replication with an EC50 value in the nanomolar range (EC50 = 50 nM). In addition, hybrid 9 exhibited an antileukemia effect similar to that of artesunic acid, with EC50 values in the low micromolar range, and was 45 times more active toward the multidrug-resistant CEM/ADR5000 cells (EC50 = 0.5 μM) than the standard drug doxorubicin.