In precision tests of the Standard Model, the observables such as the QED running coupling constant $\alpha(M_{Z}^{2})$ evaluated at the $Z$ pole, and the anomalous magnetic moment $a_{\mu}^{\rm{SM}}$ of the muon, are of fundamental importance. The dominant uncertainties in both $\alpha\left(M_{Z}^{2}\right)$ and $a_{\mu}^{\rm{SM}}$ are due to the effects of hadronic vacuum polarization, which cannot be reliably calculated in the low energy region. This paper briefly reviewed the current status of measurement of $R$ values, using $e^{+}e^{-}$ collision data collected with BESIII detector at BEPCII storage ring in the center-of-mass energy range 2.2324 to 3.6710 GeV.