Complete blood counts were analyzed for 12 samples (six males & six females: Ages 15 -40 years) of leukemia blood Samples for different dose rate and time of exposure using a Radium-226 source. Thus, an optimum time of exposure and exposure dose rate has improved for leukemia blood samples. Blood samples fractionated and placed in plastic wills, and melodic Coulter used to analysis exposed leukemia blood samples before and after exposure. Exposure technique involving CR-39 nuclear track detector and radiation survey dosimeter were used to estimate the alpha particle density incident on the blood samples and the exposed dose rate, respectively. In the first part, density of the accumulation of alpha particle on the surface of leukemia blood samples, and on the surface of CR-39NTDs varies exponentially with the exposed dose rate. This depends on the restricted energy loss of the incident alpha particles and target density. Assess an optimum time of exposure dose rate (1100 µSv/h) was the second objective. This depended on the changes in the blood components (PLT, WBC, and RBC) due to irradiation occurred for different durations of irradiation, and the duration of irradiation that influenced the leukemia blood samples (1 Male, 16 years and one Female 17 years) in this research was five minutes. Changes in the density of PLT, WBC, and RBC for leukemia blood samples and for different male (five males) and female (five females) was the third part of this research. It was found that the changes were variables due to the exposed dose rate. Optimum exposed dose rate to make more effects on the cancer cells for the leukemia blood samples began at the radiation dose rate of 43.25  1.206 µSv/h for both; male and female relatively, and this due to chromosomal aberration of the exposed cells. Finally, comparison study with the healthy blood samples has been investigated. More details are listed and clarified in the tables and figures of this paper.