A Study of Humanized CD19 CAR-T Cells Therapy for Patients With Relapsed and/or Refractory B-cell ALL and B-cell NHL

Inclusion Criteria: * Inclusion criteria only for B-ALL: 1. Male or female aged 3-70 years; 2. Histologically confirmed diagnosis of CD19+ B-ALL per the US National Comprehensive Cancer Network (NCCN) Clinical Practice Guidelines for Acute Lymphoblastic Leukemia (2016.v1); 3. Relapsed or refractory CD19+ B-ALL (meeting one of the following conditions): 1. CR not achieved after standardized chemotherapy; 2. CR achieved following the first induction, but CR duration is less than 12 months; 3. Ineffectively after first or multiple remedial treatments; 4. 2 or more relapses; 4. The number of primordial cells (lymphoblast and prolymphocyte) in bone marrow is \>5% (by morphology), and/or \>1% (by flow cytometry); 5. Philadelphia-chromosome-negative (Ph-) patients; or Philadelphia-chromosome-positive (Ph+) patients who cannot tolerate TKI treatments or do not respond to 2 TKI treatments; * Inclusion criteria only for B-NHL: 1. Male or female aged 18-75 years; 2. Histologically confirmed diagnosis of DLBCL (NOS), FL, DLBCL transformed from CLL/SLL, PMBCL, and HGBCL per the WHO Classification Criteria for Lymphoma (2016); 3. Relapsed or refractory B-NHL (meeting one of the following conditions): 1. No response or relapse after second-line or above chemotherapy regimens; 2. Primary drug resistance; 3. Relapse after auto-HSCT; 4. At least one assessable tumor lesion per Lugano 2014 criteria; * Common inclusion criteria for B-ALL and B-NHL: 1. Total bilirubin ≤ 51 umol/L, ALT and AST ≤ 3 times of upper limit of normal, creatinine ≤ 176.8 umol/L; 2. Echocardiogram shows left ventricular ejection fraction (LVEF) ≥ 50%; 3. No active infection in the lungs, blood oxygen saturation in indoor air is ≥ 92%; 4. Estimated survival time ≥ 3 months; 5. ECOG performance status 0 to 2; 6. Patients or their legal guardians volunteer to participate in the study and sign the informed consent. Exclusion Criteria: Subjects with any of the following exclusion criteria were not eligible for this trial: 1. History of craniocerebral trauma, conscious disturbance, epilepsy, cerebrovascular ischemia, and cerebrovascular hemorrhagic diseases; 2. Electrocardiogram shows prolonged QT interval, severe heart diseases such as severe arrhythmia in the past; 3. Pregnant (or lactating) women; 4. Patients with severe active infections (excluding simple urinary tract infection and bacterial pharyngitis); 5. Active infection of hepatitis B virus or hepatitis C virus; 6. Concurrent therapy with systemic steroids within 2 weeks prior to screening, except for the patients recently or currently receiving inhaled steroids; 7. Previously treated with any CAR-T cell product or other genetically-modified T cell therapies; 8. Creatinine \>2.5mg/dl, or ALT / AST\>3 times of normal amounts, or bilirubin\>2.0 mg/dl; 9. Other uncontrolled diseases that were not suitable for this trial; 10. Patients with HIV infection; 11. Any situations that the investigator believes may increase the risk of patients or interfere with the results of study.