Multiple myeloma is a plasma cell malignancy that is most commonly observed in males in the sixth and seventh decade of life. The clinical scenario of multiple myeloma with concurrent pregnancy is considered to be very rare. We detail here the case of a young female with known IgG kappa multiple myeloma who was found to have a steady elevation of her IgG kappa paraprotein during pregnancy and symptomatic progression in the postpartum period. She delivered a healthy baby at 40 weeks gestation. We present a review of all reported cases of known multiple myeloma progressing during pregnancy and in the postpartum period, the treatments given, and their outcomes. The report also provides suggestions for diagnosis and management of myeloma during pregnancy in order to have an outcome of successful uncomplicated pregnancy with healthy offspring.