He was a courtier of successive dukes of Ferrara, Leonello, Borso, and Ercole d'Este, and was entrusted with several important posts in the civil magistrature.
He was the official champion of the Duke of Ferrara (1473), served as Governor of Rovigo and the Polesine (1473–84) then Giudice dei Savi (1497-1505), in which post he was succeeded by his son Ercole Strozzi.
Strozzi was included in the entourage that accompanied Borso to Rome, March 1471, to be elevated from marchese to duca di Ferrara by Pope Sixtus IV Della Rovere.
[5] His heroic Borsiade celebrating his patron Borso d'Este is lost, save a few fragments.
His collected opere were published by Aldus Manutius in 1513, together with works of his son Ercole Strozzi (1471-1508), under the title Strozii poëtae pater et filius.