A method for locating a failure of a communication line according to self-adjusted priorities of the test points in the order of high failure probability in a communication line management system, includes the steps of organizing the test points, information on the test history of the test points, and test point search priorities (TSPs) representing the priorities of the test points in the order of high failure probability into a test database, searching the test database to determine the testing order of the test points according to the TSPs, testing the test points in the testing order to locate the failure, and revising the values of the data fields of the TSPs according to the test results and the location of the failure.