The land for Ronneby parish's new cemetery was handed over in 1858 by Baron Casper Wrede, chairman of the church council, and burials began there three years later. Plans were soon drawn up for an imposing stone church on the site, but disagreement over the best location dragged on for around seventy years, with rival proposals favouring Kallinge or the coastal site at Saxemara. Eventually the building fund had grown enough to pay for three separate district churches, and in 1939 Ronneby parish consecrated Bredåkra, Kallinge and Saxemara churches together.
As a result, Bredåkra kyrka is smaller than the grand pseudo-Romanesque church originally envisaged, and it was built outside the cemetery boundary rather than within it. Designed by the architect Herbert Kockum and built between 1937 and 1939, it is a brick hall church with a square west tower and a sacristy on the north side of the chancel. Long nave and tower each have their own saddleback roof.
Inside, the whitewashed church is covered by three vaults: the chancel has a late-medieval-style star vault, echoing the influence of Ronneby's parish church, while the two vaults to the west are simpler groin vaults of an older type.
The altarpiece, painted in 1939, is the work of Tor Hörlin, an artist associated with a realist, non-abstract approach to Swedish art. The granite font was carved by the sculptor Wilhelm Gieseke, who was also involved in the design of Kallinge church. A silver bridal crown with fourteen points, made by C. G. Hallberg in Stockholm in 1940, was donated to the church and remains among its furnishings.
The present organ, with 15 stops, was built in 1981 by Johannes Künkel's organ workshop, replacing an earlier instrument of 1839 (sources differ on whether the first organ was built by A. Mårtensson's organ factory in Lund or in 1939 with 14 stops). The cemetery west of the church, established in 1861, contains the family grave of the parents of the sculptor Per Hasselberg.