Inclusion Criteria:

          1. Informed consent is signed by the subject.

          2. Age 18 to 65.

          3. Relapsed or refractory ALL

               1. Relapse within 12 months of first remission;

               2. Without remission after more than 6 weeks of induction chemotherapy or without
                  remission after 2 cycles of induction chemotherapy regimen;

               3. 2nd or greater Bone Marrow (BM) relapse OR;

               4. First relapse after chemotherapy, without remission after at least 1 rescue
                  treatment;

               5. Any BM relapse after autologous stem cell transplantation (SCT).

          4. Documentation of CD19 tumor expression demonstrated in bone marrow or peripheral blood
             within 3 months of study entry.

          5. Patients with Philadelphia chromosome positive (Ph+) ALL are eligible if they are
             intolerant to or have failed 1 generation and/or 2 generation of tyrosine kinase
             inhibitor therapy (TKI); no TKI salvage treatments if the patient has a T315I
             mutation.

          6. Bone marrow with ≥ 5% lymphoblasts by morphologic assessment at screening.

          7. Eastern cooperative oncology group (ECOG) performance status of 0 to 1.

          8. Adequate organ function defined as:

               1. aspartate aminotransferase (AST) ≤ 3 upper limit of normal (ULN);

               2. Serum alanine aminotransferase (ALT) ≤ 3 upper limit of normal (ULN);

               3. Total bilirubin ≤ 2 ULN, except in individuals with Gilbert's syndrome; Note:
                  Patients with Gilbert's syndrome that bilirubin ≤ 3 ULN and direct bilirubin ≤
                  1.5 ULN will be eligible;

               4. A serum creatinine≤ 1.5 ULN or Creatine removal rate ≥ 60mL/min (Cockcroft and
                  Gault);

               5. Must have a minimum level of pulmonary reserve as ≤ Grade 1 dyspnea and oxygen
                  saturation > 91% on room air;

               6. International normalized ratio (INR) ≤ 1.5 ULN and activated partial
                  thromboplastin time (APTT) ≤ 1.5 ULN.

          9. Have appropriate vascular conditions for apheresis.

         10. Non-hematological toxic reactions (excluding diseases related) caused by previous
             treatment were restored to ≤ 1 level before screening (excluding ≤ 2 level of
             neurotoxicity caused by hair loss and chemotherapy drugs).

         11. Women of childbearing age have a negative blood / urine pregnancy test within 7 days
             before the CNCT19 infusion. Women of child-bearing potential and all male participants
             must use highly effective methods of contraception throughout the study and for a
             period of at least six months after the CNCT19 infusion.

        Exclusion Criteria:

          1. Active CNS involvement by malignancy.

          2. Isolated extra-medullary disease relapse.

          3. Patients who received chemotherapy within 2 weeks before CNCT19 infusion. The
             following situations are excluded:

               1. Lymphodepleting Chemotherapy prescribed by the protocol;

               2. Tyrosine kinase inhibitors (TKI) and hydroxyurea must be stopped > 72 hours prior
                  to CNCT19 infusion;

               3. The following drugs must be stopped > 1 week prior to CNCT19 infusion:
                  6-mercaptopurine, 6-thioguanine, methotrexate (<25 mg / m2), cytosine arabinoside
                  (<100 mg / m2 / d), vincristine, asparaginase;

               4. Pegylated-asparaginase must be stopped > 4 weeks prior to CNCT19 infusion;

               5. CNS prophylaxis treatment must be stopped > 1 week prior to CNCT19 infusion.

          4. Radiotherapy before CNCT19 infusion:

             Non-CNS site of radiation completed < 2 weeks prior to CNCT19 infusion; CNS directed
             radiation completed < 8 weeks prior to CNCT19 infusion.

          5. Therapeutic systemic doses of steroids were stopped < 72 hours prior to CNCT19
             infusion. However, the following physiological replacement doses of steroids are
             allowed: < 10 mg/day hydrocortisone or equivalent.

          6. Has had treatment with any prior CAR-T therapy.

          7. Patients who have previously received allogeneic hematopoietic stem cell
             transplantation (allo-HSCT).

          8. Patients with systemic vasculitis (such as Wegener granulomatosis, nodular
             polyarteritis, systemic lupus erythematosus) and active or uncontrolled autoimmune
             disease (such as autoimmune hemolytic anemia, etc.).

          9. Patients who are positive for any of HBsAg, HBeAg, HBeAb, HBcAb, HCV-Ab, TP-Ab.

         10. Active malignancy. Patients with Prior malignancy that has been cured for ≥ 2 years
             are excluded.

         11. a. Left Ventricular Ejection Fraction (LVEF) ≤45%; b. III/IV congestive heart failure
             (NYHA); c. Severe arrhythmia ; QTc≥450ms (male)or QTc≥470ms (female)(QTcB=QT/RR1/2);
             d.Uncontrolled hypertension (systolic blood pressure ≥140 mmHg and / or diastolic
             blood pressure ≥90 mmHg) or pulmonary hypertension or unstable angina; e. Myocardial
             infarction or Coronary Artery Bypass Graft Surgery, heart stent surgery < 6 months
             prior to CNCT19 infusion; f. Clinically significant valvular disease; g. Other heart
             diseases that have been judged by the investigator to be unsuitable for receiving cell
             therapy.

         12. Clinically significant pleural effusion.

         13. Patients with a history of epilepsy, cerebrovascular ischemia / hemorrhage, cerebellar
             disease or other active central nervous system diseases.

         14. History of deep vein thrombosis or pulmonary embolism within 6 months of screening.

         15. Known history of hypersensitivity to ingredients used in the drug.

         16. Has had treat with live vaccine within 6 weeks prior to screening.

         17. Patients with evidence of currently uncontrollable serious active infections (e.g.,
             sepsis, bacteremia, fungemia, viremia, etc.).

         18. Life expectancy < 3 months.

         19. Patient in other interventional clinical studies within 3 months before screening, who
             have received active drug therapy, or who intend to participate in another clinical
             trial or receive anti-tumor therapy outside the protocol during the entire study.

         20. Patients with other conditions making the patients unsuitable for receiving cell
             therapy as judged by the investigator.