Liquid trifluoromethane has been studied for several temperatures between triple point and critical point by Monte Carlo computer simulations. The molecules were modelled as 5-center Lennard-Jones particles with partial charges and anisotropic polarizability. All model parameters were treated as constants; no density or temperature dependences were used. The simulations were carried out in the NPT ensemble by means of a modified Metropolis algorithm. The simulation results for the dielectric constant, density, heat of vaporization, and liquid structure agree well with experimental data over the whole temperature range. The dipole--dipole correlation function, coordination numbers and heat capacity could also be obtained from the simulations.