The enormous, considered too exquisite even by its contemporaries palace, possesses two internal courtyards, which through an imposing staircase lead to the representative apartments. In 1673 the most important room was completed – the Audience Hall, in which the ceiling was decorated with frescoes by Carlo Maratti. The topic of the paintings is Clementia – meaning goodness and gentleness, which is a reference to the name of Pope Clement X – the founder and owner of the palace. The remaining rooms took on names from the frescoes covering their walls and ceilings generally connected with mythological motifs, but also with the seasons of the year. They were adorned with ancient statues, paintings, stuccos, mosaics, and furniture which to a large extent have been preserved until today.

The palace also houses a library and the family archives of the Altieri family.

It is here that for twenty years, until her death in 1973, that the icon of Italian cinema, Anna Magnani lived. Writers, filmmakers and actors also met here. In one of the scenes of a film by Federico Fellini Rome, Magnani was shown in the gate leading to her home from the via degli Astalli.

At the present the building is a residence of the Italian Banking Association and as a result the interior is inaccessible to visitors and we know it mainly from illustrations.