Inclusion Criteria:
Double-blind Period:
- Be positive for at least 1 of the following diabetes-related autoantibodies obtained at study screening: Glutamic acid decarboxylase (GAD-65), islet antigen 2 (IA-2), zinc transporter 8 (ZnT8), Islet Cell Cytoplasmic Autoantibodies (ICA), or Insulin (if obtained within 10 days of the onset of exogenous insulin therapy)
- Have a peak stimulated C-peptide level greater than or equal to (>=) 0.2 picomole per milliliter (pmol/mL) following a 4-hour Mixed-meal Tolerance Test (MMTT) obtained at study screening
- Be medically stable on the basis of physical examination, medical history, and vital signs performed at screening. If there are abnormalities, they must be consistent with the underlying illness in the study population
- Females of childbearing potential must have a negative serum (beta-human chorionic gonadotropin [beta-hCG]) test at screening and a negative urine pregnancy test at the Week 0 visit
- Participants (or their legally acceptable representatives) are willing and able to adhere to requirements, prohibitions, and restrictions specified in this protocol
Open-Label Extension Period:
- Participants must meet the responder criteria based on C-peptide area under the concentration-time curve (AUC) and insulin dose-adjusted HbA1c (IDAAC) remission score
Exclusion Criteria:
Double-blind Period:
- Has a history of significant renal, vascular, pulmonary, gastrointestinal, neurologic, hematologic, rheumatologic, or psychiatric disease or immune suppression or immune deficiency.
- Has significant cardiovascular disease, including history of myocardial infarction, congestive heart failure, angina, abnormal electrocardiogram or abnormal stress test
- Has active infections, is prone to infections or has chronic, recurrent or opportunistic infectious disease, including but not limited to, chronic renal infection, chronic chest infection (example [eg.], bronchiectasis), sinusitis, recurrent urinary tract infection (eg., recurrent pyelonephritis, chronic cystitis), Pneumocystis carinii, aspergillosis, latent or active granulomatous infection, histoplasmosis, or coccidioidomycosis or an open, draining, or infected non-healing skin wound or ulcer
- Has a clinically active infection with Epstein-Barr virus (EBV) or an EBV viral load >=10,000 copies per milliliter (mL) of plasma obtained at study screening. Has a clinically active infection with cytomegalovirus (CMV) or a CMV viral load >= 10,000 copies per milliliter (mL) of plasma obtained at study screening
- Current or prior (within 30 days of screening) treatment that is known to cause a significant, ongoing change in the course of T1D or immunologic status, including high-dose inhaled, extensive topical, or systemic glucocorticoids
- Has another autoimmune disease (eg, rheumatoid arthritis [RA], polyarticular juvenile idiopathic arthritis [pJIA], psoriatic arthritis [PsA], ankylosing spondylitis [AS], multiple sclerosis [MS], systemic lupus erythematosus [SLE], celiac disease [clinically symptomatic and antibody positive, that is, tissue transglutaminase Immunoglobulin A [IgA]) excluding clinically stable autoimmune thyroiditis whether treated or untreated
- Has any of the following tuberculosis [TB] screening criteria: A history of latent or active TB prior to screening (including but not limited to a positive QuantiFERON®-TB Gold test), signs or symptoms suggestive of active TB upon medical history and/or physical examination, recent close contact with a person with known or suspected active TB
- Has known allergies, intolerance and/or hypersensitivity to human immunoglobulin proteins, golimumab or any of its components or its excipients
Open-Label Extension Period:
- Participants having reported clinically significant AEs or serious adverse events (SAEs) deemed to be related to the study agent during the double blind period (for example. severe infections or hypersensitivity reactions), precluding renewed exposure to golimumab
- Participants who discontinued study agent administration prior to Week 52 or who have completed the Week 104 visit of the double-blind period or discontinued early from study