The church was built in 1866–1867 to designs by architect Theodor Anckarsvärd and consecrated in 1868 by Bishop Henrik Gustaf Hultman. It replaced two ageing and cramped parish churches, following a proposal first raised as early as 1831 by Bishop Esaias Tegnér that the parishes of Drev and Hornaryd should share a single new church. Disagreement over the choice of site delayed construction for decades; the location eventually chosen, at Möllekulla, was picked partly for its central position within the newly combined parish and for offering an easier approach without steep hills.
Once the new church was completed, Drev's medieval church was preserved, while the older wooden church at Hornaryd was demolished in the 1870s.
The building is constructed of stone, rendered and limewashed both outside and in, with a rectangular nave, a semicircular chancel, a sacristy, and a tower with the main entrance. The tower carries a lantern topped by a short spire and cross. Inside, the hall-church interior has a barrel vault, and a robust pilaster surround with a rounded arch separates the chancel from the nave. The chancel vault bears a fresco by Olle Hjortzberg depicting the Ascension of Christ, and the altar decoration is understood to have originally featured a cross set within a large radiant halo.
Several older fittings were brought into the new building. A font dated to the 1100s, carved with relief motifs of fabulous beasts, came from the earlier Drev church, as did two of the tower's three bells: the smallest, bearing a runic inscription, is thought to date from the 1300s, while the middle bell carries an inscription recording casting in 1651 and recasting in 1751. A triumphal crucifix dated to the 1400s was brought from the demolished Hornaryd church, and the large bell was cast in 1867 from metal salvaged from Hornaryd's two former church bells.
The church has had a changing sequence of organs, including instruments installed in 1868, 1916 and 1966, the last incorporating the facade of the original 1868 organ.