The present invention relates to a method for producing endothelial progenitor cells, comprising a method for producing induced pluripotent stem cells by using only Oct4 and Sox2 as a reprogramming factor of human dental pulp cells, and differentiating endothelial progenitor cells from the induced pluripotent stem cells produced by the method for producing induced pluripotent stem cells. Moreover, the present invention relates to a method for producing endothelial cells, comprising differentiating endothelial cells from endothelial progenitor cells produced by the method for producing the endothelial progenitor cells. Additionally, the present invention relates to a method for producing smooth muscle cells, comprising differentiating smooth muscle cells from endothelial progenitor cells produced by the method for producing the endothelial progenitor cells.Also, the present invention make a significant contribution to treatment of ischemia disease and heart disease because a patients dental pulp cell-derived differentiated cells can be used for cell treatment as a result of the cell treatment effect of the endothelial progenitor cells in a mouse model induced to have hind limb ischemia or myocardial infarction.