The first medieval church in Grönahög was replaced with the current wooden church in 1662. The bell tower was built in 1791 and the church was enlarged in 1827. The baptismal font, made of sandstone, dates back to the 12th century. The current altarpiece was painted in 1913.
References:The first written record of church in Danmark locality date back to the year 1291. Close to the church are several stones with a Christian text and cross inscribed. The oldest parts of the present red-brick church are from the 1300s. In the late 1400s the church was enlarged to the appearance it has today. The church has been modified both internally and externally several times, among other things after the fires in 1699 and 1889. There are lot of well-preserved mural paintings in the walls.