Jeep, who was born in Dransfeld, Germany, is remembered for his choral writing.
In 1613, he was appointed director of music for the court of the Count of Hohenlohe, serving until 1625.
In 1642, he was appointed conductor for the court of the Count of Hanau.
His best-known song is the 4-part madrigal "Musica, die ganz lieblich Kunst" ("Music, the most lovely art").
In Ulysses (Episode 16, "Eumaeus", 663:14-22), Joyce's autobiographical character, Stephen Dedalus, performs Jeep's spirited song "Von der Sirenen Listigkeit" ("Of the Siren's Cunning") for Leopold Bloom, and the two men bond over its misogyny.