The effect of the shape of a damage hole on the self-healing capacity and permittivity of geotextile encased-geosynthetics clay liner (GCL) was investigated through a series of constant head leakage rate tests. Three different damage shapes, circle, rectangle and square were tested with different size. Hydraulic radius (Rh) (damage area/periphery length of a damage) has been used to analyze the effect of the shape of a damage hole. The test results indicate that the self-healing ratio ( = healed area/total damage area) was influenced by the shape of a damage. For a rectangular or a square damage under the same damage area condition, tends to decrease with increase of Rh. In case of a circular damage, it has a larger Rh, but had a higher value of compared with a square damage of the same area. It has been explained that for a square or a rectangular damage, at corner locations, the amount of the bentonite entered the damage hole will be reduced due to so called "corner effect".