Grid computing, being a promising way for distributed supercomputing from its very beginning, attracts many attentions worldwide. Many national or regional grid computing projects come into attention. Although lots of fruitful results are obtained through such huge projects, grid computing is still far way from what we expect, using all kinds of resources and services over the internet just as using public utilities like water and electricity. There are lots of challenges for grid computing, both from technical point of view and from non-technical point of view. Also, there are quite a few barriers from grid computing being widely accepted by ordinary end users. In this talk, detail discussions of these challenges and barriers for the development and usage of grid computing are listed. The purpose of this talk tries to point out that grid computing still has long way to go to be more accepted not only by scientists but also by ordinary end users.