This is a phase I, interventional, single arm, open label, treatment study to evaluate the safety and tolerability of CD20-CD19 cCAR in patients with relapsed and/or refractory B cell malignancies.

Clinical trials with CD19-directed CARs have achieved unprecedented remission rates as high as 90%. However, recent follow-up studies have shown a substantial portion of treated patients relapsed due to antigen escape. CD20-CD19 cCAR is a compound Chimeric Antigen Receptor (cCAR) immunotherapy with two distinct functional CAR molecules expressed on a T-cell, directed against the surface proteins CD20 and CD19. CD20-CD19 cCAR intends to target the mechanisms of single-CAR relapse, specifically antigen escape.

Inclusion Criteria:

1. Diagnosis based on the World Health Organization (WHO) 2008
2. Histologically demonstrate CD19 or CD20 expressing B cell lymphoma or B ALL
3. Patients have exhausted standard therapeutic options
4. Systematic usage of immunosuppressive drug or corticosteroid must have been stopped for more than 4 weeks
5. Female must be not pregnant during the study

Exclusion Criteria:

1. Patients declining to consent for treatment
2. Prior solid organ transplantation
3. Potentially curative therapy including chemotherapy or hematopoietic cell transplant
4. Prior treatment with CD20xCD3 or CD19x3 bispecific agents