It incorporates the older Torre degli Acciaiuoli, formerly dei Buondelmonti, located at the corner of Chiasso delle Misure.

[2] In 1864 and 1920, the tower underwent restoration works (those of the second decade of the twentieth century directed by architect Ugo Giusti) that privileged the medieval components and determined its current appearance.

The tower is among the tallest in Florence: narrow and covered by the typical stone filaretto, it has a door surmounted by a monolithic architrave on two moulded corbels.

[2] The façade also bears the coat of arms of the Carthusian monks of Niccolò Acciaiuoli, which features two lions holding lily flags; in the centre is the cross of Calvary and the inscription Certosa recalling the foundation of the Certosa di Firenze on the initiative of Acciaiuoli, who donated this very palace for the use of the Carthusian monks.

There also rests a plaque from 1930 with a part in Italian commemorating the Acciaiuoli family and one in Latin describing the location of the palazzo, as written in the Florentine Archive of the «Charterhouse Papers».