Junction City, Kentucky population: 2244 based on the 2010 Census. Kentucky law says that a fourth class -- the smallest in the commonwealth that can sell alcohol, has to have a population of three thousand or more to sell alcohol. Junction City has been selling beer for a few weeks now, and for all those reasons, one of the 2244, specifically Joseph O Perry and Liquor mart of Danville are suing Junction City, its mayor and council because they allegedly broke the law in even allowing voters to decide on making alcohol sales legal. But the legislature boosted the city from a fifth class to a fourth class city, and the vote was allowed, and won out by three votes. Liquor Mart says Junction City's alcohol sales are hurting its bottom line. The legislature said it didn't have the census data when it passed the measure that gave Junction City a fourth class status, but went by estimates it was given.