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We report the first results of timing and spectral studies of \textit{NuclearSpectroscopic Telescope Array (NuSTAR)} observations of six TeV emittinghigh-frequency peaked blazars: 1ES 0347$-$121, 1ES 0414$+$009, RGB J0710$+$591,1ES 1101$-$232, 1ES 1218$+$304 and H 2356-309. Two out of these six TeVblazars, 1ES 1101$-$232 and 1ES 1218$+$304, showed strong evidence of intradayvariations in the 3--79 keV energy range during those observations. We alsofound a hint of an intraday variability timescale of 23.5 ks in the light curveof 1ES 1218$+$304 using an autocorrelation function analysis. We obtainedmagnetic field $B \sim 0.03$ G, electron Lorentz factor $\gamma \sim 2.16\times 10^6 $ and emission region size $R \sim 1.19 \times 10^{16} $ cm for 1ES1218$+$304 using that variability timescale. The other blazars' light curves donot show any variability timescales shorter than their observation lengths;however, we note that the data were both noisier and sparser for them. We alsoinvestigated the spectral shape of these TeV blazars and found that thespectrum of 1ES 0414$+$009 is well described by a single power-law with photonindex $\Gamma \sim 2.77$. The spectra of the other five HBLs are somewhatbetter represented by log-parabola models with local photon indices (at 10 keV)$\alpha \sim 2.23-2.67$ and curvature parameters, $\beta \sim 0.27-0.43$.

X-ray Flux and Spectral Variability of Six TeV Blazars with \textit{NuSTAR}