Critères d'inclusion : - Has a histologically or cytologically confirmed diagnosis of metastatic squamous or nonsquamous NSCLC.
- Has PD on treatment with an anti-PD-1/PD-L1 monoclonal antibody (mAb) administered either as monotherapy or in combination with other checkpoint inhibitors or other therapies.
- Has PD during/after platinum doublet chemotherapy.
- Has confirmation that EGFR-, ALK-, or ROS1-directed therapy is not indicated as primary therapy.
- Has submitted prestudy imaging that confirmed evidence of PD following initiation of an anti-PD-1/PD-L1 inhibitor.
- Has at least 1 measurable lesion by computerized tomography (CT) or magnetic resonance imaging (MRI) per RECIST 1.1, as determined by the local site assessment.
- Has provided tumor tissue for PD-L1 biomarker analysis from an archival sample (defined as: from initial diagnosis of NSCLC and prior to receiving immunotherapy [antiPD-1/PD-L1], from the primary lesion or a metastatic lesion).
- Has provided prior to allocation tissue from a newly obtained formalin-fixed sample from a new biopsy (defined as: after completion of immunotherapy [anti-PD-1/PD-L1] and before receiving a randomization number), of a tumor lesion not previously irradiated.
- Has Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 within 3 days before the first dose of study intervention but before randomization.
- Has a life expectancy of at least 3 months.
- Male participants receiving pembrolizumab ± lenvatinib or lenvatinib must agree to refrain from donating sperm, and either 1) be abstinent from heterosexual intercourse; or 2) follow contraceptive guidance during the treatment period and for ≥120 days after the last dose of study treatment. Male participants receiving docetaxel agree to adhere to the same conditions during the treatment period and for ≥180 days after the last dose of study treatment.
- Female participants must be not pregnant, not breastfeeding, and not be a woman of child-bearing potential (WOCBP). If a WOCBP, agrees to not donate eggs and either use contraception, or be abstinent from heterosexual intercourse during the treatment period and for ≥120 days after the last dose of study treatment. If a WOCBP receiving docetaxel, agrees to adhere to the same conditions during the treatment period and for ≥180 days after the last dose of study treatment.
- Has adequately controlled blood pressure (BP) with or without antihypertensive medications, defined as BP ≤150/90 mm Hg and no change in antihypertensive medications within 1 week before randomization.
- If participant received major surgery or radiation therapy of >30 Gy, they have recovered from the toxicity and/or complications from the intervention.
- Has adequate organ function.
Critères de non-inclusion : - Has received docetaxel as monotherapy or in combination with other therapies.
- Has received lenvatinib as monotherapy or in combination with an anti-PD-1/PD-L1 mAb.
- Has received: 1) radiotherapy within 2 weeks before the first dose of study treatment; or 2) lung radiation therapy >30 Gy within 6 months before the first dose of study treatment.
- Has received a live vaccine within 30 days before the first dose of study treatment.
- Has clinically significant hemoptysis or tumor bleeding within 2 weeks before the first dose of study treatment.
- Has radiographic evidence of major blood vessel invasion/infiltration.
- Has clinically significant cardiovascular impairment within 12 months of the first dose of study treatment.
- Has a history of a gastrointestinal condition or procedure that may affect oral absorption of study treatment.
- Has a pre-existing ≥Grade 3 gastrointestinal or non-gastrointestinal fistula.
- Is currently participating in a clinical trial and receiving study therapy or participated in a study of an investigational agent within 4 weeks of the first dose of study treatment.
- Has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy or any other form of immunosuppressive therapy within 7 days before the first dose of study treatment.
- Has a known history of an additional malignancy, except if the participant has undergone potentially curative therapy with no evidence of disease recurrence for 3 years since initiation of that therapy.
- Has known active central nervous system metastases and/or carcinomatous meningitis.
- Has severe hypersensitivity to pembrolizumab and/or any of its excipients.
- Has a sensitivity to any of the excipients contained in lenvatinib and/or docetaxel.
- Has an active autoimmune disease that has required systemic treatment in the past 2 years.
- Has a history of (noninfectious) pneumonitis that required systemic steroids or current pneumonitis/interstitial lung disease.
- Has an active infection requiring systemic therapy.
- Has a known history of human immunodeficiency virus (HIV) infection.
- Has a known history of hepatitis B reactive or known active hepatitis C virus (HCV) infection.
- Has a known history of active tuberculosis.
- Has a known psychiatric or substance abuse disorder that would interfere with the participant's ability to cooperate with the requirements of the study.
- Has a left ventricular ejection fraction (LVEF) below the institutional normal range.
- Has QT interval corrected with Fridericia's formula (QTcF) prolongation to >480 msec.
- Is pregnant or breastfeeding or expecting to conceive or father children within the projected duration of the study, starting with the screening visit through at least 120 days after the last dose of pembrolizumab or lenvatinib, or 180 days after the last dose of docetaxel.
- Has had an allogeneic tissue/solid organ transplant.