Inclusion Criteria:

• Must have documented multiple myeloma and measurable disease
• Must have received at least 1 prior line of therapy for multiple myeloma and achieved a response (partial response or better) to at least one prior regimen
• Must have documented evidence of progressive disease as defined by the International Myeloma Working Group criteria on or after their last regimen
• Must have an Eastern Cooperative Oncology Group Performance Status score of 0, 1, or 2
• If a participant has received subsequent anticancer therapy (salvage therapy), the participant must have a "wash-out period" defined as 2 weeks or 5 pharmacokinetic half-lives of the treatment, whichever is longer, before the planned start date of daratumumab monotherapy. The only exception is the emergency use of a short course of corticosteroids (equivalent of dexamethasone 40 milligram per day for a maximum of 4 days) before Daratumumab monotherapy

Exclusion Criteria:

• Has received any of the following therapies: daratumumab or other anti-CD38 therapies
• Has received anti-myeloma treatment within 2 weeks or 5 pharmacokinetic half-lives of the treatment
• Disease shows evidence of refractoriness or intolerance to lenalidomide or if previously treated with a lenalidomide-containing regimen the participant is excluded if he or she discontinued due to any adverse event related to prior lenalidomide treatment
• Has received autologous stem cell transplantation within 12 weeks before the date of randomization, or previously received an allogenic stem cell transplant (regardless of timing), or planning to undergo a stem cell transplant prior to progression of disease
• History of malignancy (other than multiple myeloma) within 5 years before the first dose of daratumumab monotherapy (exceptions are squamous and basal cell carcinomas of the skin and carcinoma in situ of the cervix, or breast, or other non-invasive lesion, that in the opinion of the investigator, with concurrence with the sponsor's medical monitor, is considered cured with minimal risk of recurrence within 5 years)