To make full use of the operations capability of anti-missile system, this paper discusses multi-dimensional attributes match problems between tasks and multi-resource, and describes multi tasks assignment problem focused on task. Considering the resource application in anti-missile operations, the paper analyzes the multi-dimensional attributes of operations tasks and resource. By introducing resource capability load coefficient, the paper defines a vector distance between the task requirement and the resource capability. Taking the resource redundancy and the cooperative load minimization as an optimization principle, the paper establishes a task assignment mathematic model. Based on improving the multi-dimensional dynamic list scheduling algorithm, the paper designs detail calculation steps and determines the task priority about selecting resource. By way of analysis and verification, the method is feasible and provides a new train of thought for the study of task assignment problems.