This paper aims at presenting a method of grading cervical cancer images according to cells formation in the tissue. The variation of intensity and texture complexity of cancer cell images are calculated by fractal dimension methods. Box Counting Method (DB) and Harfa Programme software are used to find out the dimension of the cells. Contact model and Epidemic Model are the two different models used here. The contact model shows the contact of the cells and the formation of the cancer in the part of the organ. The Epidemic model shows the growth of cancer. Lacunarity is formed between the cells. If the Lacunarity increases the dimension also increases. On seeing the growth of cancer cell pathologist can determine the grade of the cancer which in-turn will help him to diagnose the cervical cancer and recommend treatment accordingly.