Abstract Let R be a commutative ring with two binary operators addition (+) and multiplication (.). Then Z n is a ring of integers modulo n, where n is a positive integer. A Absorption Cayley graph denoted by Ω ( Z n ) is a graph whose vertex set is Z n , the integer modulo n and edge set E = { a b : a + b ∈ S } , where S = { a ∈ Z n : a b = b a = a for any b ∈ Z n , b ≠ a , b ≠ 1 } . Here a b = a is the absorption property as b is absorbed in a. We study the characterization of Absorption cayley graphs along with its properties such as connectedness, degree, diameter, planarity, girth, regularity.