The commission for the construction of a church to be named after the Danish philosopher, pastor and hymn writer N. F. S. Grundtvig was decided through a competition, won by Peder Vilhelm Jensen-Klint in 1913.

In preparation for the project, the architect studied many Danish village churches, particularly those on the island of Zealand with stepped gables.

The bottom half of the tower is simple brick while the upper reaches present the appearance of one solid, rippling surface.

[3] Klint decorated the nave with a version of the stepped gables common on Danish churches, but reinterpreted by doubling the apex.

In its floor plan, the interior resembles that of a typical Gothic church with a nave, two lateral aisles and a small transept.

Designed by Jensen-Klint in collaboration with Vilhelm Wittrup, Charles I. Schou and Georg Gøssel, the buildings contain the parish hall and apartments and were built from 1924 to 1926.

A long tree-lined road leads through Bispebjerg cemetery directly towards the church and the flanking buildings, creating a viewing axis similar to those of the Baroque period.