In this paper, we present sequential warped product submanifolds of locally product Riemannian manifolds and show that there exists a class of non-trivial sequential warped product submanifolds of a locally product Riemannian manifold of the form (M θ × σ 1 M ⊥) × σ 2 M T by giving non-trivial examples. Also, we prove some useful results for such warped products and establish Chen's inequality which represents a relationship between the squared norm of the second fundamental form for the warping functions σ 1 and σ 2. Further, some applications of our main result are given.