The studies of Bradford's Law published in these fifty years are reviewed in this paper, which contains also personality of Bradford, his management of the Library and promotion of UDC. It describes formulations by Brookes and Leimkuhler, Wilkinsons method, droop, practical data, stochastic approach and relations with Zipf's Law and information theory. The progress of the studies in a half century has been characterised by mathematical analysis, which expresses regularity of the Law. The paper introduces that irregularity is very important to understand behavior of information based on empirical analysis on droop. The author expects further studies both theoretical and empirical should be developed to establish fundamental aspects of information science.