We study the threshold effect for neutral and charged Drell-Yan productions, associated production of Higgs boson with a massive vector boson and Higgs production in bottom quark annihilation at LHC to the third order in QCD. Using the third order soft-virtual results for these processes and exploiting the universality of the threshold logarithms, we extract the process-dependent coefficients for these processes and resum large threshold logarithms to next-to-next-to-next-to leading logarithmic (N 3 LL) accuracy. By matching our results to the recently available N 3 LO results [1], we provide the most precise theoretical predictions for these processes. We present numerical results for invariant mass distribution and total production cross-sections. We find the conventional scale uncertainties of about 0.4% at N 3 LO level in the fixed order results get reduced to as small as less than 0.1% at N 3 LO+N 3 LL level in the high invariant mass region.