Let R be a ring with unity. The cozero-divisor graph of a ring R, denoted by Γ (R), is an undirected simple graph whose vertices are the set of all non-zero and non-unit elements of R, and two distinct vertices x and y are adjacent if and only if x / ∈ Ry and y / ∈ Rx. In this paper, we study the Laplacian spectrum of Γ (Zn). We show that the graph Γ (Zpq) is Laplacian integral. Further, we obtain the Laplacian spectrum Γ (Zn) for n = p n 1 q n 2 ,where n 1 , n 2 ∈ N and p, q are distinct primes.