All cells in the human organism, including stem cells, have a limited lifespan and cease to divide after a certain number of divisions. The process of cellular senescence refers to incapability to progress through the cell cycle, thus leading the cell to an irreversible growth arrest. One of the most common biomarkers of cell senescence is senescence-associated β-galactosidase (SA-β-Gal/SABG), a lysosomal enzyme detectable at pH = 6.0. However, the proper identification of senescent cells is still insufficient and lacks adequate quantification parameters. In this paper we showed that fractal and gray level co-occurrence matrix (GLCM) texture analysis of cell nuclei are able to discriminate senescent from non-senescent cells. A total of 105 images of DTSCs nuclei from both SA-β-Gal+ and SA-β-Gal-cells were used in this study. All of the computed parameters (fractal dimension, angular second moment, inverse difference moment, contrast, entropy and correlation) showed significant statistical difference between the nuclei of senescent and non-senescent stem cells (p < 0.001). Our results show the possible practical value of fractal and GLCM texture analysis as the new markers in the determination and quantification of DTSCs senescence.