The screening dependence investigations of the superconducting state parameters (SSP) viz. electron-phonon coupling strength l, Coulomb pseudopotential µ*, transition temperature T_c , isotope effect exponent a and effective interaction strength N_oV of some ternary metallic glasses viz. Ti₅₀Be₃₄Zr₁₀, (Mo_0.6Ru_0.4)₇₈B₂₂, (Mo_0.6Ru_0.4)₈₀B₂₀, (Mo_0.4Ru_0.6)₈₀P₂₀, (Mo_0.6Ru_0.4)₇₀Si₃₀, (Mo_0.6Ru_0.4)₈₄B₁₆, (Mo_0.6Ru_0.4)₇₂Si₂₈, (Mo_0.6Ru_0.4)₈₆B₁₄, (Mo_0.6Ru_0.4)₇₆Si₂₄, (Mo_0.6Ru_0.4)₇₈Si₂₂, (Mo_0.6Ru_0.4)₈₀Si₂₀, (Mo_0.6Ru_0.4)₈₂Si₁₈ and (Mo_0.6Ru_0.4)₈₀P₂₀ have been reported for the first time using Ashcroft’s empty core (EMC) model potential. Five local field correction functions proposed by Hartree (H), Taylor (T), Ichimaru-Utsumi (IU), Farid et al. (F) and Sarkar et al. (S) are used in the present investigation to study the screening influence on the aforesaid properties. It is observed that the electron-phonon coupling strength l and the transition temperature T_c are quite sensitive to the selection of the local field correction functions, whereas the Coulomb pseudopotential µ*, isotope effect exponent aand effective interaction strength N_oV show weak dependences on the local field correction functions. The T_c obtained from H-local field correction function are found an excellent agreement with available experimental data. Also, the present results are found in qualitative agreement with other such earlier reported data, which confirms the superconducting phase in the ternary metallic glasses.