The church takes its place within the grounds of Sätra prästgård, a parsonage with roots stretching back to the 1650s, when the estate was given to Danderyd parish. The original parsonage buildings fell into disrepair over the centuries, first due to plague in the early 1700s and later through lack of funds, before being restored and eventually rebuilt in the twentieth century after earlier structures proved beyond repair. A former brewhouse on the site was converted into a parsonage chapel and consecrated in 1970.
By the late 1970s the parish needed a larger space for worship. An earlier proposal for a small church by architect Rolf Bergh was turned down on cost grounds, and instead a design by Bo Grefberg was adopted, replacing a dilapidated barn with a new timber church of similar dimensions. The building was consecrated in the autumn of 1984; it took its present name, Sätraängskyrkan, at its tenth anniversary.
The church is a red-painted timber structure on a rectangular plan, covered by a tiled saddle roof, with a panelled timber ceiling inside. A free-standing bell tower nearby was raised in 1976 through voluntary donations, housing two bells cast at the Bergholtz foundry in Sigtuna.
Among the church's furnishings is a wooden altarpiece on the chancel wall, made by Sister Lydia of the Mariadöttrarna community at Vallby church, depicting the risen Christ flanked by scenes of the Annunciation and Pentecost. The font has a green-glazed basin on a red-brown stained wooden stand, and the altar bears a Byzantine-style cross with a base made from floorboards taken from Danderyd church. A small five-stop organ was built in 1984 by Walter Thür Orgelbyggen of Torshälla.