Inclusion Criteria:
* Voluntarily signed consent;
* Age of ≥ 18;
* Willing and able to adhere to trial visit schedule and other protocol requirements
* Received sufficient prior lines of therapy;
* RRMM participants must have received treatment with at least one proteasome inhibitor, one IMiD and CD38 anti body, must be refractory to the last line of therapy, must have achieved a response (PR or better) to a least 1 prior treatment line;
* RRpPCL participants must have received at least one prior line of therapy.
* Participants must have documented diagnosis of RRMM or RRpPCL.
* The participants should have measurable disease.
* Estimated life expectancy \> 12 weeks;
* ECOG performance score 0-1;
* Participants should have bone marrow reserve, renal and hepatic functions;
* Sufficient venous access for apheresis collection, and no other contraindications to apheresis;
* Must be able to stop any anticancer therapy for planned apheresis collection
* Women of childbearing age must undergo a serum pregnancy test with negative results before screening, and are willing to use effective and reliable method of contraception for at least 12 months after T cell infusion;
* Men must be willing to use effective and reliable method of contraception for at least 12 months after T cell infusion.
Exclusion Criteria:
* Any significant condition(s), laboratory abnormality or psychiatric illness that would impair the ability of the participant to receive or tolerate the planned treatment or in the opinion of the investigator, participation would not be in the best interest of the participant (eg, compromise the well-being) or that could prevent, limit, or confound the protocol-specified assessments.
* Pregnant or lactating women;
* HIV, active hepatitis C virus (HCV), or active hepatitis B virus (HBV) infection;
* Any uncontrolled active infection;
* AEs from previous treatment that have not recovered;
* Participants who have had anti-GPRC5D targeted agents;
* Participants who have received autologous stem cell transplantation 12 weeks before apheresis;
* Participants who have received allogenic stem cell transplantation within 6 months of apheresis;
* Participants who have graft versus host disease (GvHD);
* Participants who have received steroids within 14 days of apheresis or lymphodepletion;
* Participants who have plasma cell leukemia secondary to multiple myeloma, Waldenström macroglobulinemia, POEMS (polyneuropathy, organomegaly, endocrinopathy, monoclonal gammopathy, and skin changes) syndrome or clinically significant symptomatic immunoglobulin light chain (AL) amyloidosis with evidence of end-organ damage;
* Participants who have been administered live attenuated vaccine 4 weeks before apheresis or lymphodepletion;
* Participants who are allergic to fludarabine, cyclophosphamide, tocilizumab, dimethyl sulfoxide (DMSO) or CT071;
* Participants who have clinical significant cardiac conditions that researchers believe that participating in this clinical trial may endanger the health of the patients;
* Participants who require supplemental oxygen;
* Participants who have clinically significant pulmonary conditions;
* Participants who are known to have active autoimmune diseases including but not limited to psoriasis, rheumatoid arthritis and other needs of long-term immunosuppressive therapy;
* Participants with malignancies in addition to MM/pPCL;
* Participants who have central nervous system (CNS) metastases or CNS involvement;
* Participants with a history of stroke or seizures within 6 months prior to apheresis;
* Participants who have undergone major surgery 14 days prior to apheresis or within 28 days of CT071 administration.
