CD3/CD19 Depleted or CD3 Depleted/CD56 Selected Haploidentical Donor Natural Killer (NK) Cell Based Therapy for AML Patients Not in CR

Inclusion Criteria:

* Newly diagnosed with acute myelogenous leukemia (except acute promyelocytic leukemia) and has failed one or two prior standard induction attempts. Failure is defined as:
* ≥ 30% bone marrow blasts with at least 20% cellularity at mid-cycle bone marrow biopsy or residual AML on subsequent\~ day 28 bone marrow biopsy by morphology, flow, PCR or FISH
* Patients enrolling after only 1 failed induction attempt must meet at least one of the following additional eligibility criteria of high risk: ≥ 60 years of age adverse cytogenetics or molecular characteristics
* AML that progressed out of myelodysplastic syndrome (MDS) is eligible if the patient did not receive treatment directed at the MDS
* HLA-haploidentical related donor (aged 12 to 70 years)
* ≥ 18, but \< 75 years of age
* Karnofsky performance status ≥ 60%
* Adequate organ function within 14 days of study registration (30 days for pulmonary and cardiac) as defined in section 4.5
* Ability to be off prednisone and other immunosuppressive drugs for at least 3 days prior to the NK cell infusion (excluding preparative regimen pre-meds)
* No prior hematopoietic transplant
* Not pregnant or lactating
* Sexually active females of childbearing potential and males with partners of child bearing potential must agree to use birth control

Exclusion Criteria:

* Pregnant or lactating as the treatments used in this study includes drugs that are FDA Pregnancy Category D.
* Acute leukemias of ambiguous lineage
* AML that transformed from previously treated myelodysplastic syndromes
* Prior hematopoietic transplant
* New or progressive pulmonary infiltrates on screening chest x-ray or chest CT scan that has not been cleared by Pulmonary. Infiltrates attributed to infection must be stable/improving (with associated clinical improvement) after 1 week of appropriate therapy (4 weeks for presumed or documented fungal infections)
* Uncontrolled bacterial, fungal, or viral infections including HIV - chronic asymptomatic viral hepatitis is allowed
* Known hypersensitivity to one or more of the study agents used