In this study,we calculate the t(t)pQCD production cross-section at the NNLO and determine the top-quark pole mass from recent measurements at the LHC at the center-of-mass energy √S=13 TeV to a high preci-sion by applying the principle of maximum conformality(PMC).The PMC provides a systematic method that rigor-ously eliminates QCD renormalization scale ambiguities by summing the nonconformal β contributions into the QCD coupling constant.The PMC predictions satisfy the requirements of renormalization group invariance,includ-ing renormalization scheme independence,and the PMC scales accurately reflect the virtuality of the underlying pro-duction subprocesses.By using the PMC,an improved prediction for the t(t)production cross-section is obtained without scale ambiguities,which in turn provides a precise value for the top-quark pole mass.Moreover,the predic-tion of PMC calculations that the magnitudes of higher-order PMC predictions are well within the error bars pre-dicted from the known lower-order has been demonstrated for the top-quark pair production.The resulting determin-ation of the top-quark pole mass,mtpole=172.5±1.4 GeV,from the LHC measurement at √S=13 TeV agrees with the current world average cited by the Particle Data Group(PDG).The PMC prediction provides an important high-precision test of the consistency of pQCD and the SM at √S=13 TeV with previous LHC measurements at lower CM energies.