Using inclusive decays of the J/ψ, a precise determination of the number of J/ψ events collected with the BESIII detector is performed. For the two data sets taken in 2009 and 2012, the numbers of J/ψ events are recalculated to be (224.0±1.3)×10 6 and (1088.5±4.4)×10 6 respectively, which are in good agreement with the previous measurements. For the J/ψ sample taken in 2017-2019, the number of events is determined to be (8774.0 ± 39.4) × 10 6 . The total number of J/ψ events collected with the BESIII detector is determined to be (10087±44)×10 6 , where the uncertainty is dominated by systematic effects and the statistical uncertainty is negligible.

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The integrated luminosities of the XYZ data samples collected in 2016-2017 at center-of-mass energies between 4.19 and 4.28 GeV are measured with a precision better than 1% by analyzing large-angle Bhabha scattering events. The integrated luminosities of the data sets collected in 2010-2014 are updated by considering an additional correction related to the detector performance. These results are essential for precision measurements of the production cross sections of the charmonium and charmonium-like states.

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