Unemployment Rate in Concordia Parish, LA was 5.80% in December of 2025, according to the United States Federal Reserve. Historically, Unemployment Rate in Concordia Parish, LA reached a record high of 18.90 in January of 1991 and a record low of 4.10 in April of 2023. Trading Economics provides the current actual value, an historical data chart and related indicators for Unemployment Rate in Concordia Parish, LA - last updated from the United States Federal Reserve on April of 2026.