The elastic scattering of 17F from different mass targets (12C, 14N, 58Ni and 208Pb) at different energies has been studied. We used the double folding optical model potential based on the density-dependent DDM3Y effective nucleon-nucleon interaction without need to renormalize the generated potentials. Two versions of the density distribution of the one-proton halo 17F nucleus have been taken into account in order to derive the double folding potentials. The measured angular distributions of elastic scattering differential cross section and corresponding reaction cross sections have been successfully reproduced at different energies using the derived potentials. The energy and the target mass number dependences of imaginary volume integrals as well as the total reaction cross sections have been also studied.