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This paper deals with the comparative study of author productivity based on Lotak's law to the research publications of Alagappa and Bharathidasan Universities. The data for the study collected from Web of Science (WOS) database during the period of 2009 to 2018. Straight counting method applied to author productivity for both universities. A total of 1726 research publications from Alagappa University similarly 2778 research publications from Bharathidasan University contributed during the span of study period. Majority of the author productivity tested using Lotka's law by applying Kolmolgorov-Smirnov (K-S) goodness-of-fit test. The result shows the author productivity of Lotka's law was convinced the data set with maximum difference (D) value 0.044 for Alagappa University and 0.148 for Bharathidasan University less than that of critical value.