The notion of weakly Laskerian modules was introduced recently by the authors. Let R be a commutative Noetherian ring with identity, an ideal of R, and M a weakly Laskerian module. It is shown that if is principal, then the set of associated primes of the local cohomology module HiM is finite for all i ≥ 0. We also prove that when R is local, then AssRHiM is finite for all i ≥ 0 in the following cases: (1) dim R ≤ 3, (2) dim R/ ≤ 1, (3) M is Cohen-Macaulay, and for any ideal , with l = gradeM, HomRR/Hl+1 M is weakly Laskerian
