The effect of the f 0 (975) and φ (1020) mesons on the properties of the massive neutron star PSR J0348+0432 is examined in the framework of the relativistic mean-field theory by choosing the suitable hyperon coupling constants. It is found that, compared with that without the f 0 (975) and φ (1020) mesons, the radius of the neutron star PSR J0348+0432 increases from R = 12.072 km to R = 12.08 km ( i.e. by 0.07%), the central energy density ɛ c decreases from 5.6695 fm −4 to 5.6492 fm −4 ( i.e. by 0.36%), the central pressure decreases from 1.585 fm −4 to 1.58 fm −4 ( i.e. by 0.32%), the moment of inertia increases from 1.4592 × 10 45 g · cm 2 to 1.4615 × 10 45 g · cm 2 ( i.e. by 0.16%) and the surface gravitational redshift decreases from z = 0.4026 to z = 0.4022 ( i.e. by 0.1%). Our results show that the effect of the f 0 (975) and φ (1020) mesons on the properties of the massive neutron star PSR J0348+0432 is very small ( i.e. no more than 0.5%) and therefore they do not play a major role.