CT-PPS (CMS-TOTEM Precision Proton Spectrometer) is a joint project of the CMS and TOTEM collaborations with the goal of studying central exclusive production (CEP) in proton-proton colli- sions. A simplified simulation and reconstruction code for CT-PPS has been implemented in the CMS fast simulation package FastSim. Protons scattered at very low polar angles are propagated along the LHC beamlines from the generated vertex to the detectors by means of the beam transport package Hector. The reconstructed proton tracks are obtained from the simulated hits in the tracking detectors and are used to determine the proton kinematics at the vertex. The timing information is added to the tracks.