Lindrith is an unincorporated community in Rio Arriba County, New Mexico, United States. As of the 2020 census, Lindrith had a population of 32. Lindrith is located in southern Rio Arriba County along New Mexico State Road 595. The community is named for Lindrith Cordell, stepson of C.C. Hill, who established a store and post office here in 1915 ( now with ZIP code 87029). The Lindrith Airpark, a public-use airport, is located in Lindrith. Lindrith has a charter elementary school, the Lindrith Area Heritage School.