The present church was consecrated on Trinity Sunday, 2 June 1996, by Bishop Tord Harlin, replacing an earlier prefabricated 'walking church' that had served the congregation since 1967. The new building was designed by Uppsala architects Istvan Iles and Tomas Blom, who aimed to create a structure that would blend with the surrounding housing while still being recognisable as a church. The parish office and church are built as a single connected structure.
Inside, the church room is lit by a large roof window and generous side windows, giving a bright, open feel. The floor is laid with finely polished limestone in a pattern of grey-brown and pale grey tones, and the layout places the entrance in the west corner with the choir to the east.
Several furnishings recall the earlier 1967 church. The font, a dark marble bowl on a wooden base, was carried over from the original building, as was the church bell, cast by the Bergholtz foundry in Sigtuna. The organ also dates from 1967, built by Grönlunds Orgelbyggeri of Gammelstad and later retonalised in 1988.
Among the more recent additions is a textile altarpiece in the choir, depicting Jacob's Ladder, created by Silja Karlsson, along with a wooden nativity scene by Eva Spångberg and a harpsichord built in 1975 by organ builder Mats Arvidsson.
The name Tunabergskyrkan derives from the nearby Tunabergs farm, once home in the early nineteenth century to Carl Peter Thunberg, noted as Linnaeus's foremost pupil.