The church was designed by architect Kjell Malmqvist of the Gothenburg firm Arne Nygård AB, who is said to have carried out much of the work without charge. It was consecrated on 9 March 1974 by Bishop Bertil Gärtner, having grown out of a fund-raising initiative begun in 1967 to provide a small church for the eastern part of Mölndal, itself building on parish-hall efforts dating back to 1949.
The building has been altered more than once since its original construction. A substantial renovation and extension in 1985–1986 added a church square, sacristy, parish rooms and an office, with a formal reinauguration on 13 November 1986. A further enlargement followed in 2005, when the long wall facing Gunnebogatan was moved four metres closer to the street to give the nave more space.
Among the furnishings, visitors may notice a terracotta angel sculpture by Hertha Hillfon and a font formed from a rough-hewn block of granite set into the south wall, into which water flows from an opening before running onward. An icon of the Mother of God by Eva Forssell-Aronsson was reportedly added for the church's fiftieth anniversary in 2024.
One of the more unusual features is the church bell, which hangs visibly within the nave itself. According to church sources it was cast in 1674 by Hans Ternanat, reusing metal from a twelfth-century bell that had been rung to destruction in 1588. It originally hung in the old Fässberg church and was moved to the new one in 1887, but was said not to blend well with the other bells there before eventually coming to Stensjökyrkan.
The church's first organ, built in 1974 by J. Künkels Orgelverkstad, was later judged too small once the building became a full parish church and was enlarged; it was moved to Apelgårdens kyrka. The current mechanical organ, built in 1979 by Lindegren Orgelbyggeri AB, remains in use.