Grid technique is taken as the third generation intemet technology and resource management is the core of it.Aiming at the problems of resource management of CEDAGrid (China Earthquake Disaster Alleviation and Simulation Grid) in its preliminary construction, this paper presents a resource management and job scheduling model:ProRMJS to solve these problems. For platform supposed agreeably each computing node can provide computation service, ProRMJS uses "computation pool" to support scheduler, and then the scheduler allocates jobs dynamically according to computing capability and status of each node to ensure the stability of the platform. At the same time, ProRMJS monitors the status of job on each node and sets a time threshold to manage the job scheduling. By estimating the computing capability of each node, ProRMJS allocates jobs on demand to solve the problem of supposing each node can finish the job acquiescently. When calculating the computing capability of each node,ProRMJS allows for the various factors that affect the computing capability and then the efficiency of the platform is improved. Finally the validity of the model is verified by an example.