• Have a diagnosis of psoriatic arthritis (PsA) for at least 6 months prior to the first administration of study intervention and meet classification criteria for psoriatic arthritis (CASPAR) criteria at screening

• Have active PsA as defined by: a) at least 3 swollen joints and at least 3 tender joints at screening and at baseline and b) C-reactive protein (CRP) greater than or equal to (\>=) 0.3 milligram/deciliter (mg/dL) at screening from the central laboratory, and despite previous non-biologic disease modifying antirheumatic drug (DMARD), apremilast, and/or nonsteroidal anti-inflammatory drug (NSAID) therapy

• Have magnetic resonance imaging (MRI)-confirmed PsA axial disease (positive MRI spine and/or sacroiliac \[SI\] joints, shown by a Spondyloarthritis Research Consortium of Canada \[SPARCC\] score of \>= 3 in either the spine or the sacroiliac joints)

• Have a Bath Ankylosing Spondylitis Disease Activity Index (BASDAI) score of at least 4, and have a spinal pain score (on a visual analog scale \[VAS\]) of at least 4

• Have active plaque psoriasis, with at least 1 psoriatic plaque of \>= 2 centimeter (cm) diameter and/or nail changes consistent with psoriasis, or documented history of plaque psoriasis