LaFayette, also informally written as La Fayette and Lafayette, is a home rule-class city in Christian County, Kentucky, in the United States. The population was 165 at the 2010 U.S. census. LaFayett…LaFayette, also informally written as La Fayette and Lafayette, is a home rule-class city in Christian County, Kentucky, in the United States. The population was 165 at the 2010 U.S. census. LaFayette is part of the Clarksville, Tennessee metropolitan area.