Lückhoff is a small merino sheep farming town in the Free State province of South Africa.
The town was established on the farm Koffiekuil in 1892 and named after Reverend Heinrich Jacob Luckhoff (1842-1943), Minister of the Dutch Reformed Church in Fauresmith at that time.
Nowadays the bulk of the sheep found in this district are dorper sheep and not merino. A small number of farmers also stock an indigenous sheep breed known as the damara.
The town is located 82 km north-west of Philippolis and 56 km west of Fauresmith.