Parish activity in central Grums began in the 1940s, initially housed in a temporary chapel set up in a red-painted cottage known locally as Lavinias stuga. Over the following two decades the parish council raised funds for a proper small church, and Solbergskyrkan was consecrated in the autumn of 1960. It was designed by the Gothenburg architect Johannes Olivegren.
The building takes the form of a basilica, with a taller nave flanked by lower side aisles to the north and south. High in the nave walls runs a clerestory, admitting light into the interior. The south aisle contains the porch and sacristy. Both inside and out, the church is faced with yellow brick. Olivegren later designed Ansgarskyrkan in Eskilstuna along similar lines, though built in red brick.
The stained glass, made of chipped or carved glass, is the work of artists Randi Fisher and Ralph Bergholtz, who also produced the glasswork for the related Eskilstuna church. A freestanding bell tower of white-painted concrete was erected south of the church in 1966, and the parish hall, Solbergsgården, followed in 1976, having been part of the original plans but delayed for financial reasons.
The font is a notable fitting, its bowl cut from patterned granite and set on a base of yellow brick, with a design allowing for immersion in the manner of medieval fonts. Its accompanying blue enamel basin rests on a cross-shaped iron stand said to symbolise the four rivers of paradise.
Inside, some changes have altered the original design: in 1988 the church's original pulpit was removed, with Olivegren's approval, and replaced by a simple wooden ambo. The mechanical organ, built in 1967 by Grönlunds Orgelbyggeri of Gammelstad, remains a feature of the church.