A method for providing global notification of completion of a global shared memory (GSM) operation during processing by a target task executing at a target node of a distributed system. The distributed system has at least one other node on which an initiating task that generated the GSM operation is homed. The target task receives the GSM operation from the initiating task, via a host fabric interface (HFI) window assigned to the target task. The task initiates execution of the GSM operation on the target node. The task detects completion of the execution of the GSM operation on the target node, and issues a global notification to at least the initiating task. The global notification indicates the completion of the execution of the GSM operation to one or more tasks of a single job distributed across multiple processing nodes.