The purpose of this study is to identify the recommended Phase 2 combination dose (RP2CD[s]) of the amivantamab and capmatinib combination therapy in participants with non-small cell lung cancer (NSCLC) in Phase 1 (combination dose selection), and to evaluate the antitumor effect of the amivantamab and capmatinib combination therapy in mesenchymal-epithelial transition (MET) exon 14 skipping mutation and MET amplified NSCLC, when administered at the selected RP2CD(s) in Phase 2 (expansion).

Inclusion Criteria:

• Previously diagnosed with histologically or cytologically confirmed unresectable Stage IV (metastatic) non-small cell lung cancer (NSCLC) (any histology)
• May have: definitively, locally treated brain metastases that are clinically stable and asymptomatic for greater than (>) 2 weeks and who are off or receiving low-dose corticosteroid treatment (less than or equal to [<=]10 milligrams (mg) prednisone or equivalent) for at least 2 weeks prior to start of study treatment
• May have a prior malignancy (other than the disease under study) the natural history or treatment of which is unlikely to interfere with any study endpoints of safety or the efficacy of the study treatment(s)
• Have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1
• A participant of childbearing potential must have a negative serum pregnancy test at screening and within 72 hours of the first dose of study treatment and must agree to further serum or urine pregnancy tests during the study

Exclusion Criteria:

• Medical history of (non-infectious) interstitial lung disease (ILD)/pneumonitis, or has current ILD/pneumonitis, or where suspected ILD/pneumonitis cannot be ruled out by imaging at screening
• Participant has impairment of the gastrointestinal function that could affect absorption of capmatinib or is unable or unwilling to swallow tablets
• Participant has symptomatic central nervous system (CNS) metastases which are neurologically unstable or have required increasing doses of steroids >10 mg prednisone or equivalent within the 2 weeks prior to study entry to manage CNS symptoms
• Participant has uncontrolled tumor-related pain: Symptomatic lesions amenable to palliative radiotherapy (example, bone metastases, or metastases causing nerve impingement) should be treated more than 7 days prior to the administration of the first study treatment

The data sharing policy of the Janssen Pharmaceutical Companies of Johnson & Johnson is available at www.janssen.com/clinical-trials/transparency. As noted on this site, requests for access to the study data can be submitted through Yale Open Data Access (YODA) Project site at yoda.yale.edu