Andreas Peter Berggreen (March 2, 1801 ? November 8, 1880) was a Danish composer, organist, and pedagogue.
Berggreen was born and died in Copenhagen. He initially studied law before pursuing a career in music, studying under Christopher Ernst Friedrich Weyse. Berggreen was the organist at Trinitatis Kirke in Copenhagen from 1838 and taught singing at the Metropolitanskolen from 1843. In 1859 he was appointed a song inspector by the Danish government.
Apart from several pieces of incidental music, a cantata, solo piano works, and songs, he published the folk song collections Folk Sange og Melodier (1842-71) and Melodier til Salmebog (1853).