Inclusion Criteria:

• Has an understanding, ability, and willingness to fully comply with study procedures and restrictions.
• Is able to voluntarily provide a signed and dated informed consent form before any study-related procedures are performed.
• Is an adult male or female 18 to 85 years of age, inclusive.
• In participants 18-25 years of age, has radiological evidence of epiphyseal closure based on bone age X-ray (single posteroanterior X-ray of left wrist and hand) before randomization.
• Has chronic hypoparathyroidism with onset 12 months or more before screening. The diagnosis of hypoparathyroidism is established based on hypocalcemia in the setting of inappropriately low serum PTH levels.
• During the Week -3 screening visit, the participant reports by history at least 2 of the following symptoms related to hypoparathyroidism occurring within the 2 weeks before Week -3 visit: muscle cramps, muscle spasms or twitching, tingling, numbness, heaviness in arms or legs, physical fatigue, or slowed or confused thinking (brain fog).
• The participant must have a Hypoparathyroidism Symptom Diary (HPT-SD) symptom subscale Sum Score of greater than or equal to (>=) 10 during the 14-day period immediately prior to the baseline (Week 0) visit (Day -14 to Day -1). In addition, the participant must have at least 4 HPT-SD diaries completed in the first 7 day period and at least 4 HPT-SD diaries completed in second 7 day period.
• Must be treated with active vitamin D (calcitriol or alfacalcidol) alone or in conjunction with calcium supplements for at least 4 months prior to the screening visit:
  • The participant must be taking >= 0.5 microgram (μg)/day of calcitriol or >=1.0 μg/day of alfacalcidol;
  • If the participant is treated with a lower dose of active vitamin D the participant must also be taking calcium supplements of at least 800 milligrams per day (mg/day) of elemental calcium.
• Has serum thyroid-stimulating hormone (TSH) results within normal laboratory limits at screening for all participants not receiving thyroid hormone replacement therapy. For participants on thyroid hormone replacement therapy, the thyroid hormone dose must have been stable for at least 4 weeks before screening, and serum TSH level must be within the central laboratory normal range. A serum TSH level below the lower limit of the normal range but not undetectable in participant treated with thyroid hormone may be allowed if there is no anticipated need for a change in thyroid hormone dose during the trial.
• Has serum 25-hydroxyvitamin D levels >=50 mmol/L (20 nanograms per milliliter [ng/mL]) and less than (<) 1.5 times the upper limit of normal (ULN) for the central laboratory normal range.
• Has estimated glomerular filtration rate (eGFR) greater than (>) 30 milliliter per minute per 1.73 square meters (ml/min/1.73m^2).
• Prior to randomization, is able to perform daily SC self-injections of study medication (or have a designee perform injection) via a multidose injection pen into the thigh.
• Willing to use oral active vitamin D and calcium supplements provided for the study unless directed to remain on the supplements used prior to enrollment in the current study by the investigator after consultation with the medical monitor.
• With regard to female participants: women who are postmenopausal (12 consecutive months of spontaneous amenorrhea and age >= 51 years) and women who are surgically sterilized can be enrolled. Women of childbearing potential must have a negative pregnancy test at randomization and be willing to comply with any applicable contraceptive requirements of the protocol and pregnancy testing for the duration of the study.

Exclusion Criteria:

• History of hypoparathyroidism resulting from a known activating mutation in the CaSR gene or impaired responsiveness to PTH (pseudohypoparathyroidism).
• Any disease that might affect calcium metabolism or calcium-phosphate homeostasis other than hypoparathyroidism, such as poorly controlled hyperthyroidism; Paget disease; type 1 diabetes mellitus or poorly controlled type 2 diabetes mellitus; severe and chronic cardiac, liver (Child-Pugh score >9) (US FDA, 2003), or renal disease; Cushing syndrome; rheumatoid arthritis; myeloma; active pancreatitis; malnutrition; rickets; recent prolonged immobility; active malignancy (other than low-risk well differentiated thyroid cancer); primary or secondary hyperparathyroidism; or documented parathyroid carcinoma within the previous 5 years, acromegaly, or multiple endocrine neoplasia types 1 and 2.
• Very low or very high blood calcium level (eg, ACSC <1.87 mmol/L [<7.5 mg/dL] or >=2.97 mmol/L [>=11.9 mg/dL]) at the Week -3 screening visit. Results from the central laboratory must be used for this assessment.
• Blood calcium level above the ULN at the baseline (Week 0) visit. Results from a local laboratory may be used for this assessment.
• Use of prohibited medications, such as loop and thiazide diuretics, phosphate binders (other than calcium carbonate), digoxin, lithium, methotrexate, or systemic corticosteroids, within respective prohibited periods.
• Participation in any other investigational study in which receipt of investigational drug or device occurred within 6 months before screening for this study. Prior treatment with PTH-like drugs (whether commercially available or through participation in an investigational study), including PTH(1-84), PTH(1-34), or other N-terminal fragments or analogs of PTH or PTH-related protein, within 3 months before screening.
• Use of other drugs known to influence calcium and bone metabolism, such as calcitonin, fluoride tablets, or cinacalcet hydrochloride, within the prohibited period.
• Use of oral bisphosphonates within the previous 6 months or intravenous bisphosphonate preparations within the previous 24 months before screening.
• Nonhypocalcemic seizure disorder with a history of a seizure within the previous 6 months before screening. Participants with a history of seizures that occur in the setting of hypocalcemia are allowed.
• The participant is at increased baseline risk for osteosarcoma, such as those with Paget's disease of bone or unexplained elevations of alkaline phosphatase, hereditary disorders predisposing to osteosarcoma, or with a prior history of external beam or implant radiation therapy involving the skeleton.
• Any disease or condition that, in the opinion of the investigator, may require treatment or make the participant unlikely to fully complete the study or any condition that presents undue risk from the investigational product or procedures. For example, illness that is anticipated to be chronic and not transient.
• Pregnant or lactating women.
• Known or suspected intolerance or hypersensitivity to the investigational product, closely-related compounds, or any of the stated ingredients.
• History of diagnosed drug or alcohol dependence within the previous 3 years.
• Poorly controlled short bowel syndrome, bowel resection, tropical sprue, celiac disease, ulcerative colitis, and Crohn disease.
• Chronic or severe cardiac disease including but not limited to heart failure (according to the New York Heart Association classification Class II to Class IV) (Dolgin and NYHA, 1994), arrhythmias, bradycardia (resting heart rate <50 beats/minute).
• History of cerebrovascular accident.