Data Envelopment Analysis (DEA) was for the first time put forward by A. Charnes, W.W. Cooper and E.Rhodes, the celebrated operation researchers, in 1978. With requirements for a very small quantity of indexes, easy researching methods and highly reliable results, DEA has been becoming more and more popular among experts from the fields of health economy and hospital administration. This paper is to make use of the DEA method to find out the distribution problems of medical resources in a city downtown hospital, according to the resulted total amount of health technical personnel, amount of working hospital beds, large-scale equipment ownership ratio, and other indexes relevant to the distribution efficiency of medical resources. This paper shall provide some references for the low-efficiency hospitals with excess inputs or low-level output.