The current building dates from 1992, replacing an earlier travelling wooden church (vandringskyrka) that had been moved to the site from Tynnered's original church location in 1975. That earlier structure had itself been prefabricated by Oresjö Sektionshus AB to designs by Torsten Hansson and Per Persson, illustrating the practical, adaptable approach often taken to church-building in expanding postwar and later suburbs.
The present church was designed by architect Rolf Bergh and consecrated on 30 August 1992 by Bishop Lars Eckerdal. It is built of concrete and set into a sloping, wooded plot, with two storeys housing the church hall, a parish hall, meeting rooms, offices and a preschool. The church hall itself is lined with wood panelling in a mix of different timbers, giving the interior a warm, textured character that contrasts with the building's concrete structure. A freestanding wooden bell tower with a visible carillon stands near the church.
Inside, the altar decoration consists of seven copies of Russian icons dating from the sixteenth century, an unusual choice for a Swedish parish church and worth seeking out. Behind the altar is a cross-shaped window designed by Britta Reich-Eriksson, which draws light into the worship space. The organ was built by Tostareds kyrkorgelfabrik and has two manuals.
As one of two churches serving Tynnered parish within the Diocese of Gothenburg, Grevegårdens kyrka continues to function as a community building as well as a place of worship, reflecting the multipurpose design brief common to many Swedish churches built in this period.