This is a randomized, open-label, multicenter, phase II study to compare a triplet combination of CBP501, pemetrexed and cisplatin with pemetrexed/cisplatin when administered to patients with locally advanced (stage IIIB with malignant pleural effusion or pericardial effusion) or metastatic (stage IV) non-squamous NSCLC as consecutive i.v. infusions according to a once-every-3-weeks schedule.