A task coordination apparatus in a computing system having a distributed shared memory (DSM) coordinates the execution of two related tasks, wherein the second task has an execution variable which is modified by the first task. The task coordination apparatus creates a snapshot of a memory space in the distributed shared memory assigned to the first task and a cooperation watching area of the second task. The cooperation watching area contains a memory address pointing to a location where the execution variable of the second task is stored in the memory space assigned to the first task. The first task is allocated to a first computing node for execution, and the memory space assigned to it is updated according to the execution result. After updating the memory space, the second task is allocated to a second computing node for execution using the execution variable updated by the first task.