For positive numbers j and k, an L( j, k)-labeling f of G is an assignment of numbers to vertices of G such thatThe span of f is the difference between the maximum and the minimum numbers assigned by f . The L( j, k)-labeling number of G, denoted by λ j,k (G), is the minimum span over all L( j, k)-labelings of G. In this article, we completely determine the L( j, k)-labeling number (2 j ≤ k) of the Cartesian product of path and cycle.