The use of buried pipelines for the transport of large quantities of natural gas is a common mode of transport of energy. The reliability and efficiency of urban buried gas pipeline network is quite vital especially in destructive situations. Resilience is a new measure for assessing the performance of a system that is subject to disruptions. This paper propose a resilience assessment framework of urban buried gas pipeline network system to conceptualize system performance in the presence of external disruptions. The urban buried gas pipeline network performance is measured by the gas transmission connectivity and efficiency between the gas users and sources. The analytic expressions and algorithms of connectivity reliability functions are given based on Complex Network theory. And the transmission efficiency is quantitatively characterized by the shortest distance between the user and source. Taking the buried gas pipeline network system in the City of H, China, as a case study. In this paper, the topological structure of buried gas pipeline network in H city is constructed by using Topology theory. The result shows the location and quantity of gas source stations have significant influence on the gas pipeline network resilience. Recovery sequences of source stations and critical pipelines play a crucial role in system recovery and resilience improvement. This framework can provide insights to evaluate and improve urban gas pipeline infrastructure resilience in practice.