Strathmore is a census-designated place in Tulare County, California, United States. The population was 2,819 at the 2010 census, up from 2,584 at the 2000 census.Strathmore was given its name by the Scottish corporation Balfour Guthrie Company in 1908. It is a Scottish word which translates to “broad valley.” Previous names for Strathmore have been Roth Spur and Santos, CA.