Use of PTH (1-84) a recombinant hormone in 25 µg or 50 µg doses for the treatment of adults with hypoparathyroidism. The use of PTH (1-84) should result in a decrease of calcium and vitamin D supplements.

Patients with a history of Hypoparathyroidism will be randomized to receive study drug for 8 weeks, which will be injected daily in either thigh. During that time they will be monitored for safety (specifically calcium levels in blood or urine). In addition, the patients' intake of Vitamin D and Calcium will be measured.

Main Inclusion Criteria:

1. Previously completed 24 weeks of therapy and 4 weeks of follow-up in the REPLACE study
2. With regard to female patients: women who are postmenopausal or willing to use two medically acceptable methods of contraception for the duration of the study with pregnancy testing conducted at every scheduled office visit
3. Total serum calcium ≤ ULN based on local laboratory results prior to randomization
4. Serum 25(OH) vitamin D ≤ 1.5 times the ULN within approximately 8 weeks prior to randomization

Main Exclusion Criteria:

1. Any disease or condition that, in the opinion of the investigator, has a high probability of precluding the patient from completing the study or being able to appropriately comply with study requirements
2. Use of raloxifene hydrochloride or intravenous (IV) bisphosphonates since the end of participation in the REPLACE trial
3. Chronic (ie, ≥ 1 month exposure) use of systemic corticosteroids, oral bisphosphonates, calcitonin, fluoride tablets, or cinacalcet hydrochloride
4. Pregnant or lactating women
5. Any condition that would, in the investigator's opinion in consultation with the sponsor, preclude the safe use of PTH
6. Use of any experimental drug other than NPSP558 within 3 months of baseline.