Given positive integers \(j\) and \(k\) with \(j \geq k\), an {L\((j,k)\)-labeling} of a graph \(G\) assigns nonnegative integers to \(V(G)\) such that adjacent vertices’ labels differ by at least \(j\), and vertices distance two apart have labels differing by at least \(k\). The span of an L\((j,k)\)-labeling is the difference between the maximum and minimum assigned integers. The \(\lambda_{j,k}\)-number of \(G\) is the minimum span over all L\((j,k)\)-labelings of \(G\). This paper investigates the \(\lambda_{j,k}\)-numbers of Cartesian products of three complete graphs.