Inclusion Criteria:

          -  Eastern Cooperative Oncology Group (ECOG) performance status grade 0, 1, or 2

          -  Adequate bone marrow, liver, and renal function defined as: 1) Absolute neutrophil
             count (ANC) greater than equal to (>=) 1.5* 10^9cells/litre (L); 2) Platelets >=75 x
             109cells/L without transfusion support within 7 days prior to test; 3) Hemoglobin >= 8
             gram/deciliter (g/dL) without transfusion support within 7 days prior to test 4)
             Alanine aminotransferase (ALT) and aspartate aminotransferase (AST) less than equal to
             (<=) 2.5 * upper limit of normal (ULN) 5) Total bilirubin less than (<) 2
             milligram/deciliter (mg/dL) 6) Creatinine determined by serum creatinine levels <=1.5
             * ULN or a calculated creatinine clearance of >= 50 mL/min/1.73 m^2

          -  Histologically confirmed B-cell non-Hodgkin lymphoma (B-NHL), Chronic Lymphocytic
             Leukemia (CLL)/Small Lymphocytic Lymphoma (SLL)

          -  Relapsed refractory disease after at least 1 but not more than 4 lines of previous
             systemic therapy

          -  Measurable disease (NHL: At least 1 measurable site of disease [>1.5 centimeter [cm]
             in the long axis regardless of short axis measurement or >1.0 cm in the short axis
             regardless of long axis measurement, and clearly measurable in 2 perpendicular
             dimensions])

          -  Cohort B-1: SLL/CLL: 1) Deletion of short arm of chromosome 17 or 11 q based on
             institutional assessment 2) Relapsed/refractory after at least 1 prior systemic
             therapy 3) Active disease based in IWCLL criteria

          -  Cohort B-2: 1) B- cell follicular lymphoma Grade 1, 2, or 3a (WHO criteria) 2)
             Relapsed/refractory disease >= 2 lines separated by Progression, prior treatment (or
             not eligible for receiving) CD20 antibody 3) Measurable disease (IWG -Lugano 2014)

          -  Cohort B-3: 1) Histologically-confirmed DLBCL 2) Prior standard rituximab +
             anthracyclin containing regimen, received or not eligible or considered candidate of
             HD-ASCT 3) Measurable disease (IWG -Lugano 2014)

          -  Cohort B-4: 1) Histologically-confirmed Richter syndrome defined as transformation of
             CLL or SLL into an aggressive lymphoma 2) Previously treated with at least one line of
             standard, systemic chemotherapy or not eligible for standard therapy 3) At least 1
             measurable site of disease based on the Revised Response Criteria for Malignant
             Lymphoma

        Exclusion Criteria:

          -  Prior therapy or surgery (3 to 10 weeks depending type)

          -  Prior BTK inhibitor or anti PD1, anti PDL1, anti PD-L2 and anti-CD137, anti-cytotoxic
             T-lymphocyte associated antigen (CTLA-4) antibody

          -  Clinically significant cardiovascular disease such as uncontrolled or symptomatic
             arrhythmias, congestive heart failure, or myocardial infarction within 6 months of
             Screening, or any Class 3 (moderate) or Class 4 (severe) cardiac disease as defined by
             the New York Heart Association Functional Classification, or congenital long QT
             syndrome, or QT interval corrected for heart rate, using Fridericia formula (QTcF) at
             Screening greater than (>) 470 milliseconds (ms)

          -  History of stroke or intracranial hemorrhage within 6 months prior to the first dose
             of ibrutinib

          -  Requires treatment with anticoagulation with warfarin or equivalent vitamin K
             antagonists

          -  Requires treatment with strong cytochrome P450 3A (CYP3A) inhibitors

          -  Known history of Human Immunodeficiency Virus (HIV), Hepatitis B or Hepatitis C