Improving the energy efficiency of manufacturing industry is a globally common choice to pursue sustainable development and achieve the goals of carbon peak and carbon neutrality. Networked manufacturing is a new business model formed under enterprise informatization. Networked manufacturing mode has some environmental characteristics that affect its energy saving potential, for example machining devices are numerous and scattered, manufacturing services are driven by customer orders, and significant random uncertainty occurs in manufacturing processes. This paper proposes a framework for equipment resource energy-saving selection and scheduling in networked manufacturing environment, mainly including: 1) Developing a fuzzy multi-objective decision-making model that takes into account economy, energy consumption, technology, and inter-enterprise collaboration, in pursuit of the selection of machining devices and logistics equipment to increase energy efficiency during the customer orders demand stage; 2) Establishing an energy-saving scheduling model for equipment resources based on non-cooperative game theory to meet the diverse needs of customers, that can balance the competitive interests between customer orders, and reduce manufacturing energy consumption, costs, and delivery dates in manufacturing tasks implementation stage; 3) In order to deal with random disturbance in the networked manufacturing, a scheduling model for equipment resources based on random chance constraint programming is built to optimize energy, economy, and production efficiency at the preventive stage of manufacturing tasks change; 4) A cloud platform implementation method of the proposed framework is briefly summarized. The framework plays common theoretical analysis that is significant to energy-saving allocation of the equipment resources in networked manufacturing.