The purpose of this study is to evaluate the tolerability and safety of subcutaneous (SC) delivery of co-formulated daratumumab and rHuPH20 preparation (DARA SC) in Japanese participants with relapsed or refractory multiple myeloma (MM).

Inclusion Criteria:

• Participant proven to have Multiple Myeloma (MM) according to the International Myeloma Working Group (IMWG) diagnostic criteria

• Participant must have measurable, secretory disease as defined by any of the following:

  1. Immunoglobulin (Ig) G MM: serum M-protein level greater than or equal to (>=) 1.0 gram per deciliter (g/dL) or urine M-protein level >= 200 milligram (mg)/24 hours; or
  2. IgA, IgD, IgE MM: serum M-protein level >= 0.5 g/dL or urine M-protein level >= 200 mg/24 hours; or
  3. Light chain MM, for participants without measurable disease in the serum or urine: serum Ig free light chains (FLC) >= 10 mg/dL and abnormal serum Ig kappa lambda FLC ratio

• Participant must have received >= 2 prior lines of antimyeloma therapy without further established treatment option

• Participant must have relapsed or refractory disease

• Participant must have an Eastern Cooperative Oncology Group (ECOG) Performance Status score of 0 or 1

• The Participant must meet the following criteria of clinical laboratory test results during screening phase:

  1. hemoglobin >=7.5 g/dL (>=5 millimoles/liter [mmol/L]) (without prior Red Blood Cells (RBC) transfusion within 7 days before the laboratory test;
  2. absolute neutrophil count (ANC) >=1.0*10^9/L (without granulocyte colony stimulating factor support in the 7 days prior the laboratory test);
  3. platelet count >=75*10^9/L for participants in whom less than (<)50.0 percent (%) of bone marrow nucleated cells are plasma cells; otherwise platelet count >=50*10^9/L (without transfusion support in the 7 days prior to the laboratory test);
  4. aspartate aminotransferase (AST) less than or equal to (<=)3.0 times upper limit of normal (ULN);
  5. alanine aminotransferase (ALT) <=3.0 times ULN;
  6. creatinine clearance >20 mL/minute/1.73 m^2;
  7. total bilirubin <=2.0 times ULN, except in participants with congenital bilirubinemia, such as Gilbert syndrome (in which case direct bilirubin <=1.5 times ULN is required);
  8. corrected serum calcium <=14 mg/dL (<=3.5 mmol/L)

• Women of childbearing potential must commit to either abstain continuously from heterosexual sexual intercourse or to use highly effective methods of reliable birth control. Contraception must begin 4 weeks before initiating treatment, during therapy, during dose interruptions, and continue for 6 months following discontinuation of study therapy

• A man who is sexually active with a woman of childbearing potential must agree to use a barrier method of birth control, even if he had a successful vasectomy, for example, either condom with spermicidal foam/gel/film/cream/suppository or partner with occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam/gel/film/cream/suppository, and all men must also not donate sperm during the study and for 6 months after receiving the final dose of study drug

Exclusion Criteria:

• Participant has received daratumumab or other anti cluster of differentiation (CD)38 therapies previously
• Participant has received antimyeloma treatment within 2 weeks before Cycle 1 Day 1
• Participant has received autologous stem cell transplantation (ASCT) within 12 weeks before Cycle 1 Day 1, or the participant has previously received an allogenic stem cell transplant (regardless of timing)
• Participant has received a cumulative dose of corticosteroids equivalent or more than the equivalent of 140 mg of prednisolone within the 2-week period before Cycle 1 Day 1
• Participant has a history of malignancy (other than MM) within 3 years before Cycle 1 Day 1 (exceptions are squamous and basal cell carcinomas of the skin and carcinoma in situ of the cervix or breast, or malignancy that in the opinion of the investigator, with concurrence with the sponsor's medical monitor, is considered cured with minimal risk of recurrence)