Simon Peter's Church was built by the Copenhagen Church Foundation. The current congregation house was built in 1930 and was used for church services until the new church was completed. The parish was created on 1 April 1935. P.L. Jensen, pastor at Philip's Church since 1829, was a driving force behind the construction of the new church. It was designed by Poul Staffeldt Matthiesen, who a few years earlier had completed the nearby Højdevang Church. Simon Peter's Church was inaugurated on 10 September 1944.
