The church was designed by architects Helena Tallius Myhrman and Magnus Myhrman and was consecrated on 18 November 1984 by Archbishop Bertil Werkström. Its timber exterior is clad in traditional falu-red panelling, a deliberate choice intended to harmonise with the older buildings around Linné's Sävja, the nearby homestead associated with the naturalist Carl Linnaeus.
The church has an almost square worship space set centrally within a wider complex of parish rooms. A wooden bell tower stands near the main entrance, and together with the entrance area it forms a small courtyard facing Linné's Sävja. The main hall seats around 100 people, but a dividing wall can be opened to join the space with an adjoining church hall, allowing it to accommodate considerably more — sources suggest a combined capacity of between roughly 250 and 300.
The most distinctive feature of the interior is a set of three large paintings by artist Hans Lindström of the Ahlsén group in Stockholm, which frame the worship space. Titled The Rock, The Water and The Plant, they draw on the creation narrative in Genesis while also reflecting broader symbols found throughout Christian art and scripture. Lindström also coloured the heavy door leading into the church hall.
Other notable furnishings include a font and communion silver made by the Stockholm goldsmith Carl-Göran Hemlin, and wall lamps crafted by Werner Bergman, a member of the local congregation. A large tapestry by textile artist Monia Westin of Sävja, sometimes described as hanging in the adjoining hall, adds a further handmade element to the building's furnishings.
The church underwent a substantial extension and remodelling in 1996, which included changes to the worship space itself, and the building now also houses the parish office for Danmark-Funbo församling. Sävja kyrka was conceived less as a traditional standalone church than as a multi-purpose community centre, with rooms historically used for youth groups, crafts, study groups and meetings, alongside its role as a place of worship.