• Phase Ⅰ, Safety/Tolerability: Dose-limiting toxicity (DLT) [ Time Frame: 28 days post administration of CAR-T cells ]
  Dose-limiting toxicity (DLT)
• Phase Ⅰ, Safety/Tolerability: Maximum tolerated dose (MTD) [ Time Frame: 28 days post administration of CAR-T cells ]
  Maximum tolerated dose (MTD)
• Phase Ⅰ, Safety/Tolerability: Incidence and severity of Treatment emergent adverse events (TEAE) [ Time Frame: 28 days post administration of CAR-T cells ]
  Incidence and severity of Treatment emergent adverse events (TEAE)
• Phase Ⅰ, Safety/Tolerability: Incidence and severity of study treatment related AE [ Time Frame: through 2 months post administration of CAR-T cells ]
  Incidence and severity of AE related to study treatment
• Phase Ⅰ, Safety/Tolerability: Incidence and severity of AEs of special interest (cytokine release syndrome [CRS], CART-cell-related encephalopathy syndrome [CRES]) [ Time Frame: through 2 months post administration of CAR-T cells ]
  Incidence and severity of AEs of special interest (cytokine release syndrome [CRS], CART-cell-related encephalopathy syndrome [CRES])
• Phase Ⅰ, Safety/Tolerability: Incidence and severity of Dose-limiting toxicity (DLT) of dose escalation experiment [ Time Frame: 28 days after infusion ]
  Incidence and severity of Dose-limiting toxicity (DLT) of dose escalation experiment
• Phase Ⅰ, Safety/Tolerability: Recommended Phase II Dose (RP2D) [ Time Frame: through 2 months post administration of CAR-T cells ]
  Recommended Phase II Dose (RP2D)
• Phase Ⅱ, Efficacy: Overall Remission Rate (ORR) [ Time Frame: through 6 months post administration of CAR-T cells ]
  Overall Remission Rate (ORR) (Partial remission and complete remission rate after infusion of CT032 CAR-CD19 T cells)

• Phase Ⅰ, Safety/Tolerability: Incidence and severity of Treatment emergent adverse events (TEAE) [ Time Frame: through 24 months post administration of CAR-T cells ]
  Incidence and severity of Treatment emergent adverse events (TEAE)
• Phase Ⅰ, Safety/Tolerability: Incidence and severity of study treatment related AE [ Time Frame: through 24 months post administration of CAR-T cells ]
  Incidence and severity of AE related to study treatment
• Phase Ⅰ, Safety/Tolerability: Cytokine (IL-2, IL-6,IL-8,IL-10,IFN-γ,TNF-α ) concentration (pg/mL) by MSD and CBA method [ Time Frame: through 24 months post administration of CAR-T-cells ]
  Cytokine (IL-2, IL-6,IL-8,IL-10,IFN-γ,TNF-α ) concentration (pg/mL) by MSD and CBA method
• Phase Ⅰ: the number of copies of CAR-CD19 T cells in peripheral blood genomes by qPCR method and CAR-CD19 T cells by flow cytometry method [ Time Frame: through 24 months post administration of CAR-T cells ]
  the number of copies of CAR-CD19 T cells in peripheral blood genomes by qPCR method and CAR-CD19 T cells by flow cytometry method
• Phase Ⅰ, Efficacy: Overall Remission Rate (ORR) [ Time Frame: through 24 months post administration of CAR-T cells ]
  Overall Remission Rate (ORR) (Partial remission and complete remission rate after infusion of CT032 CAR-CD19 T cells)
• Phase Ⅱ, Efficacy: complete response (CR) rate [ Time Frame: through 24 months post administration of CAR-T cells ]
  complete response (CR) rate
• Phase Ⅱ, Efficacy: duration of response (DOR) [ Time Frame: through 24 months post administration of CAR-T cells ]
  duration of response (DOR)
• Phase Ⅱ, Efficacy: time to response (TTR) [ Time Frame: through 24 months post administration of CAR-T cells ]
  time to response (TTR)
• Phase Ⅱ, Efficacy: progression-free survival (PFS) [ Time Frame: through 24 months post administration of CAR-T cells ]
  progression-free survival (PFS) time
• Phase Ⅱ, Efficacy: overall survival (OS) [ Time Frame: through 24 months post administration of CAR-T cells ]
  overall survival (OS) time
• Phase Ⅱ, Safety/Tolerability: Incidence and severity of Treatment emergent adverse events (TEAE) [ Time Frame: through 24 months post administration of CAR-T cells ]
  Incidence and severity of Treatment emergent adverse events (TEAE)
• Incidence and severity of o study treatment related AE [ Time Frame: through 24 months post administration of CAR-T cells ]
  Incidence and severity of AE related to study treatment
• Phase Ⅱ, Safety/Tolerability: Incidence and severity of AEs of special interest (CRS, CRES) [ Time Frame: through 24 months post administration of CAR-T cells ]
  Incidence and severity of AEs of special interest (CRS, CRES)
• Phase Ⅱ, Safety/Tolerability: Cytokine (IL-2, IL-6,IL-8,IL-10,IFN-γ,TNF-α ) concentration (pg/mL) by MSD and CBA method [ Time Frame: through 24 months post administration of CAR-T cells ]
  Cytokine (IL-2, IL-6,IL-8,IL-10,IFN-γ,TNF-α ) concentration (pg/mL) by MSD and CBA method
• Phase Ⅱ: the number of copies of CAR-CD19 T cells in peripheral blood genomes by qPCR method and CAR-CD19 T cells by flow cytometry method [ Time Frame: through 24 months post administration of CAR-T cells ]
  the number of copies of CAR-CD19 T cells in peripheral blood genomes by qPCR method and CAR-CD19 T cells by flow cytometry method

• Refractory B-Cell Non-Hodgkin Lymphoma
• Relapsed B-cell Non-Hodgkin Lymphoma

Inclusion Criteria:

1. The subject should participate in the clinical trial voluntarily, be fully aware of and informed of this study and sign informed consent (ICF), and be willing to follow and be able to complete all trial procedures;
2. Age 18-70 years old, male or female;
3. CD 19 positive, Relapsed and/or Refractory Diffuse large B-cell lymphoma (DLBCL) and follicular lymphoma after the transformation of Relapsed and/or Refractory DLBCL subjects by histopathological and/or cytology diagnosis; At least received second-line systemic anticancer treatments containing rituximab (or other anti-CD20 drugs) and anthracene (including autologous hematopoietic stem cell transplantation) , and had progressive disease (PD) or relapse after the latest treatment.
4. The Eastern Cooperative Oncology Group (ECOG) score is 0 or 1 point;
5. The expected survival period is more than 12 weeks;
6. Having sufficient venous pathways (for leukapheresis or intravenous blood collection) and no leukapheresis contraindications;
7. At least one measurable lesion: the long axis >1.5 cm of the lymph node lesion, or the long axis >1.0 cm of the non-lymph node lesion;
8. subject has adequate organ function at screening;
9. Women of childbearing age must undergo a serum pregnancy test with negative results before screening and lymphodepletion preconditioning with fludarabine and cyclophosphamide, and are willing to use effective and reliable method of contraception for at least 1 year after T cell infusion;
10. Male subjects who have an active sex life with a woman with reproductive potential must be willing to use very effective and reliable methods of contraception for at least 1 year after T cell infusion.

Exclusion Criteria:

If the subject meets any of the following criteria, he or she cannot participate in this trial:

1. A history of severe allergies, or a history of allergies or intolerance to fludarabine, cyclophosphamide or tocilizumab, or a history of allergies or intolerance to CAR T cell cytosolic component, or a history of allergic to beta-caprolactam antibiotics;
2. Received chemotherapy, targeted therapy, radiotherapy and other anti-tumor treatment within 14 days before peripheral blood mononuclear cells (PBMCs) collection;
3. Previously received any target of CAR T treatment, or previously received CD19 targeted drug treatment;
4. Has undergone allogeneic hematopoietic stem cell transplantation; autologous stem cell transplantation was received within 12 weeks before PBMCs collection;
5. Other malignant neoplasms existed in the previous 5 years or at the same time, with the exception of breast/cervical in situ cancer, cured basal cell carcinoma and superficial bladder tumor (Ta, Tis, T1);
6. Any uncontrollable active infection, including but not limited to active TB patients
7. subjects who had received a therapeutic dose of systemic steroid drugs (prednisone >20mg/days or equivalent doses of other hormones) or other immunosuppressants within 7 days before PBMCs collection, with the exception of those who had recently or currently used inhaled steroids;
8. Known to have active autoimmune diseases, including but not limited to psoriasis, rheumatoid arthritis, etc., that need long-term immunosuppressive therapy;
9. Patients with refractory hyponatremia and/or hypokalemia;
10. Known or existing primary or metastatic central nervous system lymphoma, or any other central neurological disease or clinically significant neurological examination with abnormal results (such as seizures, cerebrovascular ischemia/hemorrhage, dementia, etc.);
11. Within 6 months prior to signing the ICF, there were any of the uncontrolled cardiovascular, cerebral vascular disease, diabetes and pulmonary embolism, or other disease at discretion of investigators that participating in this clinical trial may harm the health of the subjects;
12. Oxygen absorption before PBMCs collection to maintain blood oxygen saturation >95% (finger vein oxygen);
13. According to the investigator, any serious or uncontrollable systemic disease, systematic comorbidities, other serious concurrent diseases (such as hemophagocytic syndrome, etc.), special circumstances of the tumor may make the subjects inappropriate to enter the study or non-compliant to the protocol, or produce significant interference to correct evaluation of study drug safety, toxicity, and validity;
14. The investigators assessed that the subjects were unable or unwilling to comply with the requirements of the research protocol;
15. Major surgical operations were performed within 4 weeks of the group (the definition of major surgery is based on the 3 and 4 levels of surgery specified in the measures for the administration of clinical application of medical technology); or has not yet been fully recovered from any previous invasive operation;
16. The toxic response of previous anti-tumor therapy has not been restored to level 1 according to the Common Terminology Criteria for Adverse Events (CTCAE), except for hair loss and;
17. Having participated in any other interventional clinical trial before administration, where the last time of drug administration is within 4 weeks or less than 5 half-lives of the test drug (the longer);
18. Women who have been pregnant, prepared for pregnancy during the trial, or are breastfeeding; or women of childbearing age and fertile men who are unwilling or unable to adopt medically recognized and effective contraceptive methods throughout the study period;
19. The investigator or a relative of his staff, a subject who may have an interest in it with the investigator or his staff.

• First Affiliated Hospital of Zhejiang University
• RenJi Hospital