Matthias Greitter, also Matthäus Greiter, (ca. 1495 – 20 December 1550) was a German priest, cantor and composer.
Greitter was born in Aichach. He became priest and cantor at Strasbourg Cathedral. In 1524 he joined the new Reformed Church. In 1538 he accepted a position of music teacher at the Collegium Argentinense (later University of Strasbourg). In 1549 he moved back to the Catholic religion and founded a Catholic school of singing, but he died the following year in Strasbourg, presumably from the plague.
- Domine non secundum, motet, 2vv, 1545
- Passibus ambiguis/Fortuna desperata, motet, 4vv,
- Christ ist erstanden/Christus surrexit, motet, 5vv
- 7 psalms
- 16 Lieder, 4–5vv