In this paper, a new concept of distributed port is proposed, and a systematic method for the modeling, analysis, and design of the high-speed power delivery network (PDN) is developed. The distributed port uses multiple lumped ports dispersed uniformly in the power-delivery networks to capture the distributed characteristics of the large and irregular power-delivery structures. This concept provides a feasible scheme for the accurate analysis of the whole or any part of a power-delivery network. The modeling methods and modeled results are discussed in depth. The applications of the distributed port in the PDN design, systematic PDN modeling, and package/connector performance evaluation and optimization are discussed in detail. The validity of the distributed port is demonstrated by numerical examples and verified by simulations and extractions.