Assigning levels of pools of resources to a super process having sub-processes

Provided are a computer program product, system, and method for assigning levels of pools of resources in an operating system to a super process having sub-processes. A plurality of first level pools of resources are reserved in the operating system for first level processes to perform a first level operation and invoke at least one second level process to perform a second level operation. A plurality of second level pools of resources are reserved in the operating system for second level processes. One of the second level pools of resources assigned to one of the second level processes is released and available to assign to another second level process when the second level process completes the second level operation for which it was invoked.