Inclusion Criteria:

          -  The patient has a confirmed diagnosis of Philadelphia chromosome (Ph) positive chronic
             myelogenous leukemia in either CP or AP. Accelerated phase will be defined as disease
             having 1 of the following: ≥15% to <30% blasts in peripheral blood or bone marrow;
             ≥30% blasts + promyelocytes in peripheral blood or bone marrow; ≥20% basophils in
             peripheral blood or bone marrow; platelet count <100x109/L unrelated to therapy; or
             clonal evolution.

          -  The patient has either failed, demonstrated intolerance, or a combination of prior
             failure and intolerance, to prior treatments with at least 2 tyrosine kinase
             inhibitors (TKI's). Failure of TKI treatment may either be primary (never achieved a
             response) or secondary resistance (loss of response).

          -  TKI treatment failure will be defined as 1 of the following:

               -  no CHR by 12 weeks (whether lost or never achieved)

               -  no partial cytogenetic response by 24 weeks (ie, 1 to 35% Ph-positive) (whether
                  lost or never achieved) no major cytogenetic response by 52 weeks (ie, ≤35%
                  Ph-positive) (whether lost or never achieved)

               -  progressive leukocytosis, defined as increasing white blood cell (WBC) count on
                  at least 2 consecutive evaluations, at least 2 weeks apart and doubling from the
                  nadir to ≥20000/μL or absolute increase in WBC by ≥50000/μL above the
                  post-treatment nadir

          -  Intolerance to TKI therapy will be defined as 1 of the following:

               -  grade 3 to 4 nonhematologic toxicity that does not resolve with adequate
                  intervention

               -  grade 4 hematologic toxicity lasting more than 7 days, or a documented inability
                  to sustain the TKI therapy because of recurrent grade 3 or 4 hematologic toxicity
                  with re-initiation of the same therapy

               -  any grade 2 or greater toxicity that is unacceptable to the patient

          -  Patients must have completed all previous anticancer therapy for at least 2 weeks
             prior to the first planned dose of omacetaxine, except as noted below, and must have
             fully recovered from side effects of a previous therapy.

          -  In patients with rapidly proliferating disease, hydroxyurea may be administered before
             study entry, if clinically indicated, to control disease. In such cases, complete
             hematologic response (CHR) must be sustained for at least 4 weeks for accelerated CML,
             and at least 8 weeks for chronic phase CML, following the discontinuation of
             hydroxyurea, to be considered as a CHR.

          -  Patients may receive anagrelide for up to 28 days (in countries where the product is
             registered). Leukapheresis is allowed up to 24 hours prior to the first treatment
             cycle with omacetaxine.

          -  Patients must have adequate hepatic and renal function as evidenced by bilirubin 2.0
             times the upper limit of the normal range (ULN) or lower, alanine aminotransferase
             (ALT) and asparate aminotransferase (AST) 3 times the ULN or lower, serum creatinine
             1.5 times the ULN or lower. Patients with nonclinically significant elevations of
             bilirubin up to 5.0 g/dL (85500 μmol/L) due to known or suspected Gilbert's disease
             are eligible; this must be documented on the medical history page of the case report
             form (CRF).

          -  Patients must have an Eastern Cooperative Oncology Group (ECOG) performance status of
             0 to 2

          -  Patients are men or women at least 18 years of age.

          -  Patients must be able and willing to provide written informed consent prior to any
             study related procedure.

          -  The patient must take precautions to not become pregnant or produce offspring. Women
             must be of non-childbearing potential (surgically sterile or postmenopausal for at
             least 12 months, confirmed by follicle-stimulating hormone [FSH] >40 IU/L) or agree to
             use a medically accepted method of contraception for the duration of the study and 90
             days after treatment. Men must be surgically sterile or agree to use a medically
             accepted method of contraception for the duration of the study and 90 days after
             treatment. Acceptable methods of contraception include abstinence, barrier method with
             spermicide (excluding cervical cap and sponge), intrauterine device (IUD), or
             steroidal contraceptive (oral, transdermal, implanted, and injected) in conjunction
             with a barrier method.

               -  Other criteria may apply, please contact the investigator for additional
                  information

        Exclusion Criteria:

          -  The patient has New York Heart Association (NYHA) class III or IV heart disease,
             active ischemia, or any other uncontrolled cardiac condition such as angina pectoris,
             clinically significant cardiac arrhythmia requiring therapy, uncontrolled
             hypertension, or congestive heart failure.

          -  The patient has had a myocardial infarction in the previous 12 weeks. (Prior to study
             entry, electrocardiogram [ECG] abnormalities at screening must be documented by the
             investigator as not medically relevant.)

          -  The patient has received radiotherapy within 30 days prior to the start of study drug,
             or has not recovered from the acute toxicities associated with prior approved
             therapies including investigational drugs.

          -  The patient has another concurrent illness that would preclude study conduct and
             assessment, including, but not limited to, another active malignancy (excluding
             squamous or basal cell skin cancer and in situ cervical cancer), uncontrolled medical
             conditions, uncontrolled and active infection (considered opportunistic, life
             threatening, or clinically significant), uncontrolled risk of bleeding, or
             uncontrolled diabetes mellitus.

          -  The patient underwent autologous or allogeneic stem cell transplant within 60 days
             prior to receiving the first dose of omacetaxine and has any evidence of ongoing graft
             versus host disease (GVHD), or GVHD requiring immunosuppressive therapy.

          -  The patient has a human leukocyte antigen (HLA)-matched donor and is eligible for
             allogeneic transplantation for CML treatment.

          -  The patient has known positive human immunodeficiency virus (HIV) or known active
             human t-cell lymphotropic virus (HTLV) I/II disease, whether on treatment or not.

          -  The patient has known active hepatitis B or C. The determination of active hepatitis B
             or C is left to the investigator.

          -  The patient has lymphoid Ph+ blast crisis or blast phase CML.

          -  The patient participated in another clinical investigation within 30 days of
             enrollment or is receiving another investigational agent.

          -  The patient received omacetaxine or has a history of hypersensitivity.

               -  Other criteria may apply, please contact the investigator for additional
                  information