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Aiming at exploring the nature of dark energy (DE), we use forty-threeobservational Hubble parameter data (OHD) in the redshift range $0 < z\leqslant 2.36$ to make a cosmological model-independent test of the$\Lambda$CDM model with two-point $Omh^2(z_{2};z_{1})$ diagnostic. In$\Lambda$CDM model, with equation of state (EoS) $w=-1$, two-point diagnosticrelation $Omh^2 \equiv \Omega_m h^2$ is tenable, where $\Omega_m$ is thepresent matter density parameter, and $h$ is the Hubble parameter divided by100 $\rm km s^{-1} Mpc^{-1}$. We utilize two methods: the weighted mean andmedian statistics to bin the OHD to increase the signal-to-noise ratio of themeasurements. The binning methods turn out to be promising and considered to berobust. By applying the two-point diagnostic to the binned data, we find thatalthough the best-fit values of $Omh^2$ fluctuate as the continuous redshiftintervals change, on average, they are continuous with being constant within 1$\sigma$ confidence interval. Therefore, we conclude that the $\Lambda$CDMmodel cannot be ruled out.

Cosmological model-independent test of $\Lambda$CDM with two-point diagnostic by the observational Hubble parameter data