Provided is a method, system and program for managing operation requests using different resources. In one embodiment, a first queue is provided for operations which utilize a first resource of a first and second resource. A second queue is provided for operations which utilize the second resource. An operation is queued on the first queue until the first resource is acquired. The first resource is released if the second resource is not also acquired. The operation is queued on the second queue when the first resource is acquired but the second resource is not. In addition, the first resource is released until the operation acquires both the first resource and the second resource.