Distributed tasking models such as OmpSs-2@Cluster, StarPU-MPI, and PaRSEC express HPC applications as task graphs with explicit dependencies. The single task graph unifies the representation of parallelism across CPU cores, accelerators, and distributed-memory nodes, offering higher programmer productivity compared to traditional MPI + X. Most task-based models construct the task graph sequentially, which provides a clear and familiar programming model, simplifying code development, maintenance, and porting. However, this design introduces a bottleneck in task creation and dependency management, limiting performance and scalability. As a result, unless the tasks are very coarse-grained, current distributed sequential tasking models cannot match the performance of MPI + X. Many scientific applications, however, are iterative in nature, constructing the same directed acyclic task graph at each timestep. We exploit this structure to eliminate the sequential bottleneck and control message overhead in a sequentially-constructed distributed tasking model, while preserving its simplicity and productivity. Our approach builts on the recently proposed taskiter directive for OpenMP and OmpSs-2, allowing a single iteration to be expressed as a cyclic graph. The runtime partitions the cyclic graph across nodes, precomputes the MPI transfers, and then executes the loop body at low overhead. By integrating the MPI communications directly into the application’s task graph, our approach naturally overlaps computation and communication, in some cases exposing dramatically more parallelism than fork–join MPI + OpenMP. We define the programming model and describe the full runtime implementation, and integrate our proposal into OmpSs-2@Cluster. We evaluate it using five benchmarks on up to 128 nodes of the MareNostrum 5 supercomputer. For applications with fork–join parallelism, our approach has performance similar to fork–join MPI + OpenMP, making it a viable productive alternative, unlike the existing OmpSs-2@Cluster model, which is up to 7.7 times slower than MPI + OpenMP. For a 2D Gauss–Seidel stencil computation, our approach enables 3D wavefront computation, giving performance up to 22 times faster than fork–join MPI + OpenMP and on-a-par with state-of-the-art TAMPI + OmpSs-2. All software, comprising the compiler, runtime, and benchmarks, is released open source. 1