Macque was born in Valenciennes, but moved to Vienna at an early age, where he sang as a choirboy, and where he studied with Philippe de Monte, the renowned composer of madrigals.
After 1585, when he moved to Naples, his music shifted from the conservative Roman style to the more progressive Neapolitan one; perhaps he began renumbering his publications based on his stylistic change.
His early and late madrigals include both light and serious music and often require virtuoso singing skill; likely some of these pieces were intended for performance by the concerto di donne, the three virtuoso female singers at the ducal Este court at Ferrara, which had a strong musical connection with Naples throughout the 1590s.
After 1599, his music shifted in style again; Macque began experimenting with chromaticism of the kind found in Gesualdo's madrigals.
In addition to his madrigals, he was a prolific composer of instrumental music, writing canzonas, ricercars, capriccios and numerous pieces for organ.