Abstract: A brief introduction of the principles of time of flight(TOF) positron emission tomography(PET) and simulation toolkits of simulation software Geant4, GATE, DETECT2000 commonly used for TOF-PET detector simulation. A brief review of documents relating to the various studies of Monte Carlo towards TOF-PET simulation studies are introduced and the various factors impacting the time resolution of LSO/LYSO TOF-PET and the TOF-PET simulation studies of the future development prospects are presented.