The treatment of leukemia/lymphoma by chimeric antigen receptor (CAR) redirected T cells with specificity for CD19 induced complete remissions in the majority of patients, with a realistic hope for cure. However, recent follow-up data revealed a substantial risk of relapse through leukemic cells that lack the CAR targeted antigen. In this situation, a bispecific CAR with binding domains for CD19 and CD20 is aimed at recognizing leukemic cells with only one cognate antigen. The anti-CD20-CD19 bispecific CAR induced a full T-cell response upon engagement of CD19 or CD20 on target cells showing a true "OR" gate recognition in redirecting T-cell activation. T cells with the anti-CD20-CD19 CAR efficiently killed patients' chronic lymphocytic leukemia cells in vitro. The bispecific CAR T cells cleared pediatric acute lymphocytic leukemia with a mixed CD19CD20/CD20 phenotype from the blood and bone marrow of transplanted mice, while anti-CD20 CAR T cells left CD20 leukemic cells behind without curing the disease. Data indicate the superior anti-leukemic activity in the control of leukemia, implying that the anti-CD20-CD19 bispecific CAR T cells may reduce the risk of relapse through antigen-loss leukemic cells in the long term.