The Intermediate Silicon Layers (ISL) detector is being built as
part of the Collider Detector at Fermilab (CDF) upgrades for the run II
operation of Tevatron.  The ISL Space Frame (SF) is a structure that defines
the location of the ISL detectors, supports the micro-vertex silicon trackers
(SVXII, L00) as well as the beryllium beam pipe.  The SF design, project and
construction is challenging due to the precision and mechanical stability
requirements that must be achieved using a minimum amount of material.  The SF
is a high precision light structure made in carbon fiber designed and built at
the INFN Pisa and shipped at Fermilab in summer 1999.  In this contribution we
describe in detail the SF construction phase and the accuracy obtained.