Grayson is a city in Gwinnett County, Georgia, United States. The 2020 estimated population of Grayson, GA is 4740 people. The population …Grayson is a city in Gwinnett County, Georgia, United States. The 2020 estimated population of Grayson, GA is 4740 people. The population was 2,666 at the 2010 census, up from 765 in 2000. The city of Grayson was first called Trip. In 1901, John Ellery Jacobs, the postmaster and civic leader, wrote to the post office department requesting that Trip, Georgia be changed to Berkley, Georgia. On December 6, 1901, the General Assembly of Georgia approved an act to incorporate the town and change the name. Shortly after, Ellery Jacobs was notified that there was already a Berkley, Georgia. He then suggested Graymount, but it was also taken. He then suggested the name of Grayson, Georgia.