Elim is a city in Nome Census Area, Alaska, United States. At the 2010 census the population was 330, up from 313 in 2000. Elim is located …Elim is a city in Nome Census Area, Alaska, United States. At the 2010 census the population was 330, up from 313 in 2000. Elim is located at 64°37′4″N 162°15′24″W / 64.61778°N 162.25667°W. According to the United States Census Bureau, the city has a total area of 2.4 square miles, all of it land.