Inclusion Criteria:
* Have a diagnosis of active psoriatic arthritis (PsA) for at least 6 months before the first administration of study agent and meet Classification criteria for Psoriatic Arthritis (CASPAR) at screening
* Have active PsA as defined by: at least 3 swollen joints and at least 3 tender joints at screening and at baseline; and C-reactive protein (CRP) greater than or equal to (>=) 0.3 milligrams per deciliter (mg/dL) at screening from the central laboratory
* Have at least one of the following PsA subsets: distal interphalangeal joint involvement, polyarticular arthritis with absence of rheumatoid nodules, asymmetric peripheral arthritis, or spondylitis with peripheral arthritis
* Have active plaque psoriasis, with at least one psoriatic plaque of >= 2 centimeters (cm) diameter and/or nail changes consistent with psoriasis, or documented history of plaque psoriasis
* Have an inadequate response and/or intolerance to anti-tumor necrosis factor alpha (TNF alpha) therapy, defined as presence of active PsA despite previous treatment with one prior anti-TNF alpha agent
Exclusion Criteria:
* Has other inflammatory diseases that might confound the evaluations of benefit of guselkumab therapy in the treatment of PsA, including but not limited to rheumatoid arthritis, ankylosing spondylitis/nonradiographic axial spondyloarthritis, systemic lupus erythematosus, or Lyme disease
* Has received more than 1 prior anti-tumor necrosis factor (TNF) alpha agent (or biosimilars)
* Has ever received Janus kinase (JAK) inhibitor including but not limited to tofacitinib, baricitinib, filgotinib, peficitinib, decernotinib, upadacitinib or any other investigational JAK inhibitor
* Has received any systemic immunosuppressants (example, azathioprine, cyclosporine, 6 thioguanine, mercaptopurine, mycophenolate mofetil, hydroxyurea, tacrolimus) within 4 weeks of the first administration of study intervention
* Has known allergies, hypersensitivity, or intolerance to guselkumab or its excipients
* Has a history of chronic or recurrent infectious disease, including but not limited to chronic renal infection, chronic chest infection (example, bronchiectasis), recurrent urinary tract infection (example, recurrent pyelonephritis or chronic non-remitting cystitis), fungal infection (example, mucocutaneous candidiasis), or open, draining, or infected skin wounds or ulcers