Chronic myeloid leukemia (CML) is a malignant blood disease with a particular chromosomal aberration and it is known as a common form of leukemia. Chromene family exhibit strong anti-cancer effects. Therefore, in this study, the effect of two derivatives of dihydro-pyrano [2, 3-g] chromene family is investigated on cell toxicity and apoptosis induction in K₅₆₂ cancer cells and compared them with Peripheral Blood Mononuclear (PBMC) normal cells. The K₅₆₂ cell line was cultured in the presence of the mentioned chromene derivatives at a concentration of 40-200µM for 24-72 hours. The effect of these compounds on growth and viability of K₅₆₂ cell line and PBMC cells were studied via MTT assay and apoptosis induction was investigated by flow cytometry. The results showed that these chromene derivatives inhibit K₅₆₂ cell line growth. Moreover, increasing the chromene concentration and the time of exposure to it increase the cell toxicity. Among these compounds, 4-No₂pgC was known as a compound with high toxicity (IC₅₀=129±2.75) and 4-MePgC recognized as a compound with low toxicity (IC₅₀=214±3.42) after 72 hours exposure to the K₅₆₂ cell line. Furthermore, the results of flow cytometry demonstrated the effect of apoptosis induction of these compounds on the K₅₆₂ cell line. According to the obtained results from this research, chromene derivatives can induce apoptosis in the K₅₆₂ cell line and these compounds have a less toxic effect on normal cells than cancer cells. In conclusion, these derivatives can be considered as a proper candidate for the treatment of leukemia.