A Study Evaluating Safety and Efficacy of C-CAR039 Treatment in NHL Subjects

Inclusion Criteria:

* 1\. Volunteered to participate in this study and signed informed consent
* 2\. Age 18-75 years old, male or female
* 3\. CD19 or CD20 positive DLBCL (including PMBCL and tFL), FL and MCL confirmed by cytology or histology according to WHO2016 criteria. For CD20-positive subjects, they should have received at least one regimen containing anti-CD20-targeted therapy (such as rituximab). If they do not complete the regimen due to intolerance, the cause should be recorded.
* 4\. Relapsed or refractory disease after ≥ 2 lines (for FL, at least 3 lines) of standard therapy or relapsed after autologous stem cell transplantation (ASCT)
* 5\. At least one measurable lesion (LDi ≥ 1.5 cm);
* 6\. At least two weeks from last treatment (radiation, chemotherapy, mAb, etc) to apheresis;
* 7\. LVEF≥ 50% (ECHO)
* 8\. No active pulmonary infections, normal or mild impaired pulmonary function and SpO2≥92%
* 9\. Laboratory criteria: ANC≥1.0×109/L; Platelets≥50×109/L; Serum total bilirubin ≤1.5x ULN; Creatinine≤ ULN; AST and ALT≤3x ULN
* 10\. No contraindications of apheresis;
* 11\. Expected survival ≥ 3months
* 12\. ECOG score 0 or 1

Exclusion Criteria:

* 1\. Have a history of allergy to cellular products;
* 2\. According to the NYHA cardiac function grading standards, patients with grade III or IV cardiac dysfunction;
* 3\. A history of craniocerebral trauma, disturbance of consciousness, epilepsy, cerebrovascular ischemia, cerebrovascular hemorrhagic disease, etc.;
* 4\. Patients with central nervous system involvement;
* 5\. Patients with autoimmune diseases, immunodeficiency or other conditions requiring immunosuppressive therapy;
* 6\. Received allogeneic hematopoietic stem cell transplantation before;
* 7\. Previous use of any CAR T cell product or other genetically modified T cell therapy;
* 8\. Autologous stem cell transplantation within 6 weeks before infusion;
* 9\. Severe active infections (except for simple urinary tract infections, bacterial pharyngitis), or currently undergoing intravenous infusion of antibiotics. However, prophylactic antibiotic, antiviral and antifungal infection treatments are permissible;
* 10\. Live vaccination within 4 weeks prior to apheresis;
* 11\. People infected with HIV, HBV, HCV and TPPA/RPR, and carriers with HBV;
* 12\. A history of alcohol abuse, drug use or mental illness;
* 13\. Subjects who are not sterilized and have any of the following conditions:

  1. are pregnant/lactating; or
  2. planned pregnancy during the trial; or
  3. being fertile and unable to use effective contraception;
* 14\. Severe hypersensitivity to fludarabine or cyclophosphamide;
* 15\. A history of other primary cancers other than the following:

  1. Non-melanoma tumors such as basal cell carcinoma of the skin that are cured by excision
  2. Cured in situ cancers such as cervical, bladder, or breast cancer
* 16\. The investigators consider that the subject has other conditions that are not suitable for this trial.