ONO-7018 is a selective inhibitor of mucosa associated lymphoid tissue protein 1 (MALT1) and is expected to exhibit antitumor activity in NHL and CLL. The purpose of this study is to determine the MTD and to evaluate the safety, tolerability, PK, pharmacodynamics (biomarkers), and efficacy of ONO-7018 in patients with relapsed or refractory NHL or CLL.